
Resumo : The algebra of Hecke operators acts on the space of automorphic forms. For every K' neighborhood of the identy in Gl_2(A), this action induces an action of K' bi_invariant Hecke operators on right K' invariant forms. We will introduce the notion of graph of a Hecke operator and use it as a tool. For K'=K and for one other specific K', we use the graphs to compute dimensions of eigenspaces for some important operators of the K' bi-invariant Hecke algebra.