It is not C2 symmetric because if it was it would be chiral.
The surefire way to know if it is chiral or not is to draw the mirror image and try to figure out a way to superpose the two, like MissPhosgene said.
This is a tricky one because it is not a common symmetry element that negates the chirality. There is a center of inversion at the middle of the ring and therefore it is not chiral.