cardinalityOfConjugacyClass p
The formula for this classes is obtained by the Orbit-Stabilizer lemma applied for S_n with the action of conjugation.
For a partition $p$ this formula is $n!/(\prod_i (\lambda_i )!i^\lambda_i$, where $\lambda_i$ denotes the number of parts in $p$ that are equal to $i$.
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The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/SpechtModule.m2:3305:0.