The eccentricity of the hyperbola whose length of the latus rectum is equal to 8 and the length of its conjugate axis is equal to half the distance between its foci, is:

Question

$\begin{array}{1 1}(1)\large\frac{4}{3} \\ (2)\large\frac{4}{\sqrt 3} \\ (3)\large\frac{2}{\sqrt 3} \\ (4)\sqrt 3 \end{array} $