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	2964d	Isogeny class
Conductor	2964	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	-9360394992 = -1 · 24 · 38 · 13 · 193	Discriminant
Eigenvalues	2- 3+  2 -2  2 13- -7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,398,-3647]	[a1,a2,a3,a4,a6]
Generators	[16:81:1]	Generators of the group modulo torsion
j	434671630592/585024687	j-invariant
L	3.1094834759646	L(r)(E,1)/r!
Ω	0.69054496790673	Real period
R	0.75049022160726	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	11856bj1 47424bj1 8892m1 74100s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2964d1

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	-	-7	+	3	-6	-1	-11	5	7	2	2	1	-5	-1	-8	2	-4	6	-10	-17

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Quadratic twists for elliptic curve 2964d1

-4	8	-3	5	13	-19
11856bj1	47424bj1	8892m1	74100s1	38532h1	56316j1

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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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