In the first part, we take up the `note aded in proof' of [St] and sketch
how to extend the main result to the case when *A* is a (non-zero)
square mod *l* (but not a square in **Q**).

The second part deals with the L-series of *C _{A}*. We
determine the corresponding Hecke character (this is done on a fairly elementary
level) and find a formula for the sign in the functional equation (or root
number) of the L-series. This formula is then used to show that the order
of vanishing of

Reference: [St] M. Stoll: On the arithmetic of the curves *y*^{2}
= *x ^{l}* +

- cmlPart2.dvi.gz (37277 bytes)

Michael Stoll <stoll@math.uni-duesseldorf.de>