On the order of vanishing of modular -functions at the critical point
We show that the slopes of the operator acting on 5-adic overconvergent modular forms of weight with primitive Dirichlet character of conductor 25 are given by eitherdepending on and .We also prove that the space of classical cusp forms of weight and character has a basis of eigenforms for the Hecke operators and which is defined over .
In this article we consider one special class of modular forms which are products of Dedekind -functions and the relationships between these functions and representations of finite groups.