Find the Eccentricity of the Ellipse $( - \sqrt { 11 } , 0 )$

Multiple Choice

Find the eccentricity of the ellipse.
-Find the eccentricity of an ellipse centered at the origin having a focus of $( - \sqrt { 11 } , 0 )$ and corresponding directrix $x = - \frac { 36 } { \sqrt { 11 } }$

A) $\frac { \sqrt { 11 } } { 36 }$
B) $\frac { \sqrt { 11 } } { 5 }$
C) $\frac { \sqrt { 61 } } { 6 }$
D) $\frac { \sqrt { 11 } } { 6 }$