Cremona's table of elliptic curves

83 = Prime conductor

Field	Data	Notes
Atkin-Lehner	83+	Signs for the Atkin-Lehner involutions
Conductor	83	Conductor
Count	1	Number of curves in isogeny class
Curves	83a1	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	-1 -1 -2 -3  3 -6  5  2	Hecke eigenvalues for primes less than 20
L	0.5982673327166	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1328e 5312e 747d 2075a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 83a

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-1	-1	-2	-3	3	-6	5	2	-4	-7	5	-11	-2	-8	0	6	5	5	-2	2	0	14	+	0	-8

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Quadratic twists for isogeny class 83a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	-83
1328e	5312e	747d	2075a	4067c	10043c	14027a	23987b	29963c	43907b	69803a	79763d	113627a	6889a

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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