Zeros of newform Eisenstein series on Γ0(N)

We examine the zeros of newform Eisenstein series Eχ1,χ2,k(z) of weight k on Γ0(q1q2), where χ1 and χ2 are primitive characters modulo q1 and q2, respectively. We determine the location of a significant fraction of the zeros of these Eisenstein series for k sufficiently large.