  We prove a converse theorem for a family of L functions of degree 2 with
gamma factor coming from a holomorphic cuspform. We show these L functions
coincide with either those coming from a newform or a product of L functions
arising from Dirichlet characters. We require some analytic data on the Euler
factors, but don't require anything on the shape. We also suppose that the
twisted L functions satisfy expected functional equations. We allow the
non-trivial twists to have arbitrary poles.
