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	2904f	Isogeny class
Conductor	2904	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-7527168 = -1 · 28 · 35 · 112	Discriminant
Eigenvalues	2+ 3-  0  1 11- -6 -4  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-73,251]	[a1,a2,a3,a4,a6]
Generators	[-1:18:1]	Generators of the group modulo torsion
j	-1408000/243	j-invariant
L	3.9104305439661	L(r)(E,1)/r!
Ω	2.2586969219949	Real period
R	0.086563861354899	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5808d1 23232e1 8712v1 72600cn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2904f1

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	1	-	-6	-4	1	-2	-6	-3	7	-2	-4	-6	-2	10	1	-3	-4	3	-5	-14	16	13

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Quadratic twists for elliptic curve 2904f1

-4	8	-3	5	-11
5808d1	23232e1	8712v1	72600cn1	2904m1

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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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