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	2904b	Isogeny class
Conductor	2904	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	285152160165599232 = 211 · 310 · 119	Discriminant
Eigenvalues	2+ 3+ -4 -4 11+  6  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-164600,-720564]	[a1,a2,a3,a4,a6]
Generators	[-1302:37293:8]	Generators of the group modulo torsion
j	102129622/59049	j-invariant
L	1.9571992154259	L(r)(E,1)/r!
Ω	0.25933422877817	Real period
R	7.5470146175728	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	5808j2 23232bm2 8712u2 72600dk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2904b2

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

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Quadratic twists for elliptic curve 2904b2

-4	8	-3	5	-11
5808j2	23232bm2	8712u2	72600dk2	2904i2

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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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