  We construct the first examples of asymmetric L-space knots in $S^3$. More
specifically, we exhibit a construction of hyperbolic knots in $S^3$ with both
(i) a surgery that may be realized as a surgery on a strongly invertible link
such that the result of the surgery is the double branched cover of an
alternating link and (ii) trivial isometry group. In particular, this produces
L-space knots in $S^3$ which are not strongly invertible. The construction also
immediately extends to produce asymmetric L-space knots in any lens space,
including $S^1 \times S^2$.
