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	2904a	Isogeny class
Conductor	2904	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-191664 = -1 · 24 · 32 · 113	Discriminant
Eigenvalues	2+ 3+  2  2 11+  0 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7,-20]	[a1,a2,a3,a4,a6]
Generators	[7:15:1]	Generators of the group modulo torsion
j	-2048/9	j-invariant
L	3.3412059431089	L(r)(E,1)/r!
Ω	1.3178146933703	Real period
R	1.26770704558	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	5808i1 23232bj1 8712t1 72600dj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2904a1

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	+	0	-6	-6	-4	2	-8	2	-10	-10	0	6	0	4	-4	0	-4	10	-12	18	18

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Quadratic twists for elliptic curve 2904a1

-4	8	-3	5	-11
5808i1	23232bj1	8712t1	72600dj1	2904h1

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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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