Original: Cassius Dio, Roman History LXII.3 and Josephus, War of the Jews IV, say Nero's rule was 13 years, 8 months which would be June 11th born Lucius Domitius Ahenobarbus, also called Nero Claudius Caesar Drusus Germanicus, was the fifth and last Roman emperor of the Julio-Claudian dynasty.
Simplified: Nero Claudius Caesar Augustus Germanicus (December 15, 37 – June 9, 68), born Lucius Domitius Ahenobarbus, also called Nero for short, was the fifth and last Roman Emperor of the Julio-Claudian dynasty.