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	2516a	Isogeny class
Conductor	2516	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	2737408 = 28 · 172 · 37	Discriminant
Eigenvalues	2-  1  2 -1 -1 -4 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-157,703]	[a1,a2,a3,a4,a6]
Generators	[-3:34:1]	Generators of the group modulo torsion
j	1682464768/10693	j-invariant
L	3.8537167256071	L(r)(E,1)/r!
Ω	2.5672254198371	Real period
R	0.25018688112525	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	10064c1 40256m1 22644d1 62900c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2516a1

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	2	-1	-1	-4	-	-2	-6	-6	6	+	1	-4	1	1	0	6	4	-3	-11	-12	3	-4	16

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Quadratic twists for elliptic curve 2516a1

-4	8	-3	5	-7	17	37
10064c1	40256m1	22644d1	62900c1	123284b1	42772b1	93092a1

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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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