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 of the distance between its foci, is:
(1) $\frac{4}{3}$
(2) $\frac{4}{\sqrt{3}}$
(3) $\frac{2}{\sqrt{3}}$
(4) $\sqrt{3}$