  We give effective lower bounds for $L(1,\chi)$ via Eisenstein series on
$\Gamma_0(q) \backslash \mathbb{H}$. The proof uses the Maass-Selberg relation
for truncated Eisenstein series and sieve theory in the form of the
Brun-Titchmarsh inequality. The method follows closely the work of Sarnak in
using Eisenstein series to find effective lower bounds for $\zeta(1+it)$.
