  A continued fraction $v(\tau)$ of Ramanujan is evaluated at certain arguments
in the field $K = \mathbb{Q}(\sqrt{-d})$, with $-d \equiv 1$ (mod $8$), in
which the ideal $(2) = \wp_2 \wp_2'$ is a product of two prime ideals. These
values of $v(\tau)$ are shown to generate the inertia field of $\wp_2$ or
$\wp_2'$ in an extended ring class field over the field $K$. The conjugates
over $\mathbb{Q}$ of these same values, together with $0, -1 \pm \sqrt{2}$, are
shown to form the exact set of periodic points of a fixed algebraic function
$\hat F(x)$, independent of $d$. These are analogues of similar results for the
Rogers-Ramanujan continued fraction.
