AMC 12B 2008 Problem 17

Let A, B and C be three distinct points on the graph of y=x^{2} such that line A B is parallel to the x-axis and \triangle A B C is a right triangle with area 2008. What is the sum of the digits of the y-coordinate of C ?

Answer Choices
A. 16
B. 17
C. 18
D. 19
E. 20