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	2904g	Isogeny class
Conductor	2904	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	59864589312 = 210 · 3 · 117	Discriminant
Eigenvalues	2+ 3-  0 -2 11-  0  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1008,-3984]	[a1,a2,a3,a4,a6]
Generators	[-230:363:8]	Generators of the group modulo torsion
j	62500/33	j-invariant
L	3.7424706977332	L(r)(E,1)/r!
Ω	0.89901413079102	Real period
R	2.0814304077959	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5808e1 23232g1 8712w1 72600co1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2904g1

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

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Quadratic twists for elliptic curve 2904g1

-4	8	-3	5	-11
5808e1	23232g1	8712w1	72600co1	264a1

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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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