Your birthday star is in the constellation Eridanus. It is called 40 Eridani in the Historia Cœlestis Britannica of John Flamsteed and Edmund Halley. It is called NS 0415-0739 A in the NStars database.
It has visual magnitude 4.43 meaning that you could see this star with the naked eye in good viewing conditions. It is marked in the center of this star chart, at celestial coordinates (J2000 equinox):
Right ascension 4:15:16.3
Declination -7:39:10.3
This star is 16.4 light years away, which means that the light we see from it today set off on its journey at about the same time that you were born.
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