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	12	Product of Tamagawa factors cp
Δ	-101284096 = -1 · 28 · 172 · 372	Discriminant
Eigenvalues	2- -2 -2 -2  2  2 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-204,1156]	[a1,a2,a3,a4,a6]
Generators	[0:34:1]	Generators of the group modulo torsion
j	-3685542352/395641	j-invariant
L	1.9036510814024	L(r)(E,1)/r!
Ω	1.8406621976607	Real period
R	0.34474025775827	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	10064f2 40256p2 22644c2 62900d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2516b2

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 2516b2

-4	8	-3	5	-7	17	37
10064f2	40256p2	22644c2	62900d2	123284c2	42772c2	93092b2

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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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