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	2904d	Isogeny class
Conductor	2904	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	640	Modular degree for the optimal curve
Δ	-85034928 = -1 · 24 · 3 · 116	Discriminant
Eigenvalues	2+ 3+ -2  0 11-  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,81,-372]	[a1,a2,a3,a4,a6]
j	2048/3	j-invariant
L	1.016545712204	L(r)(E,1)/r!
Ω	1.016545712204	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	5808o1 23232bw1 8712y1 72600do1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2904d1

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	0	-	2	-2	4	-8	-6	8	6	6	-4	0	-2	4	2	-4	8	-10	8	4	-6	2

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Quadratic twists for elliptic curve 2904d1

-4	8	-3	5	-11
5808o1	23232bw1	8712y1	72600do1	24a4

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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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