The reaction $gamma p rightarrow K^{+} Lambda(1520)$ using photoproduction data from the CLAS $g12$ experiment at Jefferson Lab is studied. The decay of $Lambda(1520)$ into two exclusive channels, $Sigma^{+}pi^{-}$ and $Sigma^{-}pi^{+}$, is studied from the detected $K^{+}$, $pi^{+}$, and $pi^{-}$ particles. A good agreement is established for the $Lambda(1520)$ differential cross sections with the previous CLAS measurements. The differential cross sections as a function of CM angle are extended to higher photon energies. Newly added are the differential cross sections as a function of invariant 4-momentum transfer $t$, which is the natural variable to use for a theoretical model based on a Regge-exchange reaction mechanism. No new $N^*$ resonances decaying into the $K^+Lambda(1520)$ final state are found.