Cremona's table of elliptic curves

2516 = 2² · 17 · 37

Field	Data	Notes
Atkin-Lehner	2- 17- 37+	Signs for the Atkin-Lehner involutions
Class	2516b	Isogeny class
Conductor	2516	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	312	Modular degree for the optimal curve
Δ	10064 = 24 · 17 · 37	Discriminant
Eigenvalues	2- -2 -2 -2  2  2 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-209,1096]	[a1,a2,a3,a4,a6]
Generators	[7:5:1]	Generators of the group modulo torsion
j	63404326912/629	j-invariant
L	1.9036510814024	L(r)(E,1)/r!
Ω	3.6813243953215	Real period
R	0.68948051551654	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10064f1 40256p1 22644c1 62900d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2516b1

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

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Quadratic twists for elliptic curve 2516b1

-4	8	-3	5	-7	17	37
10064f1	40256p1	22644c1	62900d1	123284c1	42772c1	93092b1

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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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