Cremona's table of elliptic curves

82 = 2 · 41

Field	Data	Notes
Atkin-Lehner	2+ 41+	Signs for the Atkin-Lehner involutions
Conductor	82	Conductor
Count	2	Number of curves in isogeny class
Curves	82a1 82a2	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2+ -2 -2 -4 -2  4 -2  6	Hecke eigenvalues for primes less than 20
L	0.58300155947061	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	656c 2624b 738i 2050e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 82a

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
+	-2	-2	-4	-2	4	-2	6	-8	0	-8	2	+	-12	4	-4	8	-14	-2	8	10	4	12	-14	6

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Quadratic twists for isogeny class 82a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41
656c	2624b	738i	2050e	4018f	9922d	13858m	23698d	29602g	43378d	68962k	78802a	112258d	3362b

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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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