1 research outputs found
Computing actions on cusp forms
For positive integers and , we describe how to compute the natural
action of on the space of cusp forms , where
a cusp form is given by sufficiently many terms of its -expansion. This will
reduce to computing the action of the Atkin--Lehner operator on
for a congruence subgroup .
Our motivating application of such fundamental computations is to compute
explicit models of some modular curves .Comment: No substantial change; minor corrections mad