Cremona's table of elliptic curves

2904 = 2³ · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 11-	Signs for the Atkin-Lehner involutions
Class	2904o	Isogeny class
Conductor	2904	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	43641285608448 = 210 · 37 · 117	Discriminant
Eigenvalues	2- 3-  4  2 11-  0  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-969976,367373312]	[a1,a2,a3,a4,a6]
j	55635379958596/24057	j-invariant
L	3.6543456490377	L(r)(E,1)/r!
Ω	0.52204937843396	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5808g1 23232be1 8712n1 72600k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2904o1

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
-	-	4	2	-	0	6	-4	-6	-6	0	6	10	8	6	-12	-8	-4	-12	10	-2	-2	-12	-6	14

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Quadratic twists for elliptic curve 2904o1

-4	8	-3	5	-11
5808g1	23232be1	8712n1	72600k1	264d1

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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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