  Let $E/\mathbf{Q}$ be a semistable elliptic curve of analytic rank one, and
let $p>3$ be a prime for which $E[p]$ is irreducible. In this note, following a
slight modification of the methods of Jetchev-Skinner-Wan, we use Iwasawa
theory to establish the $p$-part of the Birch and Swinnerton-Dyer formula for
$E$. In particular, we extend the main result of loc.cit. to primes of
multiplicative reduction.
