  We survey a number of different methods for computing $L(\chi,1-k)$ for a
Dirichlet character $\chi$, with particular emphasis on quadratic characters.
The main conclusion is that when $k$ is not too large (for instance $k\le100$)
the best method comes from the use of Eisenstein series of half-integral
weight, while when $k$ is large the best method is the use of the complete
functional equation, unless the conductor of $\chi$ is really large, in which
case the previous method again prevails.
