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We study the discriminants of the minimal polynomials $\mathcal{P}_n$ of theRamanujan $t_n$ class invariants, which are defined for positive integers$n\equiv11\pmod{24}$. The historical precedent for doing so comes from Grossand Zagier, which is known for computing the prime factorizations of certainresultants and discriminants of the Hilbert class polynomials $H_n$. We showthat $\Delta\left(\mathcal{P}_n\right)$ divides $\Delta\left(H_n\right)$ withquotient a perfect square, and as a consequence, we explicitly determine thesign of $\Delta\left(\mathcal{P}_n\right)$ based on the class group structureof the order of discriminant $-n$. We also show that the discriminant of thenumber field generated by $j\left(\frac{-1+\sqrt{-n}}{2}\right)$, where $j$ isthe $j$-invariant, divides $\Delta\left(\mathcal{P}_n\right)$. Moreover, weshow that 3 never divides $\Delta\left(\mathcal{P}_n\right)$ for all squarefreepositive integers $n\equiv11\pmod{24}$.

On discriminants of minimal polynomials of the Ramanujan $t_n$ class invariants