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	2964c	Isogeny class
Conductor	2964	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-101273193216 = -1 · 28 · 36 · 134 · 19	Discriminant
Eigenvalues	2- 3+ -3 -3  3 13+  7 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-266477,-52857831]	[a1,a2,a3,a4,a6]
Generators	[683:9126:1]	Generators of the group modulo torsion
j	-8174563425829593088/395598411	j-invariant
L	2.2078671233203	L(r)(E,1)/r!
Ω	0.10506413500994	Real period
R	1.7512058413269	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	11856bg1 47424bw1 8892l1 74100be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2964c1

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	-3	3	+	7	-	-4	-6	6	0	-4	9	1	14	8	-5	4	-12	-7	-4	-12	2	-6

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Quadratic twists for elliptic curve 2964c1

-4	8	-3	5	13	-19
11856bg1	47424bw1	8892l1	74100be1	38532e1	56316r1

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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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