The solutions to the equations z2=4+415i and z2=2+23i, where i=−1, form the vertices of a parallelogram in the complex plane. The area of this parallelogram can be written in the form pq−rs, where p,q,r, and s are positive integers and neither q nor s is divisible by the square of any prime number. What is p+q+r+s?<spanclass=′latex−bold′>(A)</span>20<spanclass=′latex−bold′>(B)</span>21<spanclass=′latex−bold′>(C)</span>22<spanclass=′latex−bold′>(D)</span>23<spanclass=′latex−bold′>(E)</span>24