Cremona's table of elliptic curves

2964 = 2² · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 19-	Signs for the Atkin-Lehner involutions
Class	2964f	Isogeny class
Conductor	2964	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-686508471657216 = -1 · 28 · 34 · 136 · 193	Discriminant
Eigenvalues	2- 3- -3 -1  3 13- -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,21963,147591]	[a1,a2,a3,a4,a6]
Generators	[18:741:1]	Generators of the group modulo torsion
j	4576557860913152/2681673717411	j-invariant
L	3.3599472236212	L(r)(E,1)/r!
Ω	0.30881962513495	Real period
R	0.15111064797457	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	11856v2 47424h2 8892p2 74100c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2964f2

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
-	-	-3	-1	3	-	-3	-	0	0	-10	-4	6	-7	9	0	0	-1	2	0	-1	-10	-12	6	8

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Quadratic twists for elliptic curve 2964f2

-4	8	-3	5	13	-19
11856v2	47424h2	8892p2	74100c2	38532l2	56316f2

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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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