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The galaxy cluster WHL J013719.8-08284 at $z = 0.566$ exhibits a strong-lensing feature known as the Sunrise Arc, which hosts the candidate star Earendel at $z \approx 6.2$, the most distant star candidate observed to date. If this object is a star, or a system of a few stars, its apparent magnitude implies both extreme gravitational lensing magnification and unusually high luminosity. This study revisits Earendel's magnification, which, in previous literature, exhibits significant uncertainty across various lens models ($2\mu = 4{,}000$-$35{,}000$). We present an improved cluster mass reconstruction and a tighter constraint on Earendel's magnification using a joint strong- and weak-lensing analysis with JWST data. Our strong-lensing mass model, incorporating newly identified multiple-image systems from JWST imaging data and modifying the existing multiple-image assignment scheme, produces a root-mean-square (RMS) lens-plane scatter of less than $0.''3$. Additionally, our weak-lensing catalog achieves a source density of $\sim 100$ galaxies arcmin$^{-2}$, providing constraints on the mass profile beyond the strong-lensing regime. In our best-fit model, we estimate the magnification of Earendel to be $\mu = 43$-$67$, significantly lower than previously proposed and thus calling into question its classification as a star.