The proper name of the religion is Islam and its followers are properly called Muslims. In the religious context, the word Islam means submission to the will of God and obedience to Gods Law. The will of God is defined by the Qur'an as good and compassionate, and His law as the most beneficient and equitable. Any human being who so submits and obeys is, therefore a Muslim in a moral state of Islam. It is in this sense that the Qur'an calls Abraham and all authentic prophets Muslims and designates their religions by one and the same title, namely Islam. Hence, the Muslim is not only a follower of Muhammad exclusively he also follows Abraham, Moses, Jesus, and the rest of Gods messengers.
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The true name of relegion would be different for person to person the true name is what a particular person beleives in, for you it can be islam, but keep one thing in mind , islam is not a relegion, it is a way of life and hence i do not agree with the answers of two other persons who have replied earlier