  We report the measurement of the leptonic ($e^{+}e^{-}$) decay channel of the
$\phi$(1020) meson in Au+Au collisions at $\sqrt{s_{_{NN}}}$ = 200 GeV by the
STAR experiment. The transverse momentum ($p_{\rm T}$) spectrum is measured for
0.1 $\le p_{\rm T} \le 2.5$ GeV/$c$ at mid-rapidity ($|y|\le1$). We obtain the
$p_{\rm T}$-integrated $\phi$(1020) mass $M_{\phi}=1017.7\pm0.8 (\rm {stat.})
\pm0.9 (\rm {sys.})$ MeV/$c^{2}$ and width $\Gamma_{\phi} = 8.0\pm 2.5(\rm
{stat.}) \pm 2.3(\rm {sys.}) \textrm{MeV/}c^{2}$, which are within
1.5\,$\sigma$ and 1.1\,$\sigma$ of the vacuum values, respectively. No
significant difference is observed in the measured $p_{\rm T}$ spectrum,
$dN/dy$, or $\left<p_{\rm T}\right>$ of the $\phi$(1020) meson between the
$e^{+}e^{-}$ and hadronic ($K^{+}K^{-}$) decay channels as measured by the same
experiment. The experimental results are compared to a theoretical model
including medium-modified $\phi$(1020).
