The modulus of $ z $ is:
$$ |z| = \frac{ 2 \sqrt{ 1071914}}{ 5 }$$To find modulus of a complex number $ z = a + bi $ we use formula:
$$ |z| = \sqrt{a^2 + b^2} $$In this example we have $ a = 130 $ and $ b = \frac{ 1966 }{ 5 } $ so:
$$ \begin{aligned}|z| &= \sqrt{ 130^2 + \left(\frac{ 1966 }{ 5 }\right)^2 } \\[1 em]|z| &= \sqrt{ 16900 + \frac{ 3865156 }{ 25 } } \\[1 em]|z| &= \sqrt{ \frac{ 4287656 }{ 25 } } \\[1 em]|z| &= \frac{ 2 \sqrt{ 1071914}}{ 5 } \\[1 em] \end{aligned} $$