Quotients of periodic L-space knots are L-space knots

Let $K$ be a periodic L-space knot with quotient knot $\overline{K}$. Quotient L-space knot conjecture. $\overline{K}$ is an L-space knot. The claim concerns how the L-space-knot property behaves under passage to the quotient knot of a periodic knot; no resolution is indicated in the supplied text.