The plotted Corrected Flux vs. Time data (converted from NASA's K2 raw data by A. Vanderburg) were accessed by starting with his website https://www.cfa.harvard.edu/~avanderb/k2.html.

13 Transits or Major Eclipses:
T_3 (or E_3) and T_4 (or E_4) are excluded from evaluations because of data gap distortions.  One transit or eclipse (T_6 or E_6) is totally missing due to another major data gap.
Binomial-Fit-Model, Derivative-Zero Method:
Period: 5.7967 ± 0.0003 days.
T_0: 1980.3143 ± 0.0027 [BJD-2454833]
Depth: 91903 ± 4411 ppm.

EXOFAST Method:
Period: 5.7969 ± 0.0001 days.
T_0: 1980.3134 ± 0.0003 [BJD-2454833]
Depth: 95504 ± 3578 ppm.

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Literature [Foreman-Mackey et al. (ref. below)] Method:
Period: 5.7969 ± 0.0000 days.
T_0: 1980.3130 ± 0.0003 [BJD-2454833]
Depth: 128700 ± 1253 ppm
(via the reported Rp/Rs = 0.3587 ± 0.0354).

K2 Data Search & Retrieval (http://archive.stsci.edu/k2/data_search/search.php):
RA: 167.171295, DE: 1.577513.
RA: 11 08 41.111, DE: +01 34 39.05
Other IDs: 2MASS J11084111+0134389; UCAC 458-050089; TYC 262-584-1.

SIMBAD (http://simbad.harvard.edu/simbad):
Object designation: STAR.
Distance: 83 pc.
Numerous additional properties.

Reference:
• Forman-Mackey et al., A systematic search for transiting planets in the K2 data, arXiv: 1502.04715v1, 16 Feb 2015.

27 Feb 2015

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Discussion:
This star showed considerable surface activity; the rotation rates (or, more precisely, the frequency of probable-repeating star-spots) was 5.19 ± 0.04 days.  Further, it appears that the transit or eclipse times are unrelated to stellar variability suggesting that, if it is an EB with no minor eclipses visible, it is of the "detached" type.
Identical values for T_FWHM and tau were obtained for every transit (or eclipse) via EXOFAST evaluations, which is consistent with either an exoplanet's grazing transits or an EB's major eclipses.  No evidence for corresponding minor eclipses (if this is an EB) was observed.
In either case, no definitive evidence for a TTV was obtained; there was a hint of such, but errors were too large to allow confirmation via a Lomb-Scargle Periodogram.

Kepler K2C1 EPIC-211569483:
Exoplanet Candidate/Grazing Transits or an Eclipsing Binary.