The eccentricity of the ellipse $x^2+4y^2+2x+16y+13=0$ is

Question

\[\begin {array} {1 1} (a)\;\frac{\sqrt 3}{2} & \quad (b)\;\frac{1}{2} \\ (c)\;\frac{1}{\sqrt 3} & \quad (d)\;\frac{1}{\sqrt 2} \end {array}\]