  For a given cusp form $\phi$ of even integral weight satisfying certain
hypotheses, Waldspurger's Theorem relates the critical value of the
$\mathrm{L}$-function of the $n$-th quadratic twist of $\phi$ to the $n$-th
coefficient of a certain modular form of half-integral weight. Waldspurger's
recipes for these modular forms of half-integral weight are far from being
explicit. In particular, they are expressed in the language of automorphic
representations and (adelic) Hecke characters. We translate these recipes into
congruence conditions involving easily computable values of Dirichlet
characters. We illustrate the practicality of our "simplified Waldspurger" by
giving several examples.
