Cremona's table of elliptic curves

5904 = 2⁴ · 3² · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 41+	Signs for the Atkin-Lehner involutions
Class	5904o	Isogeny class
Conductor	5904	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1037834287460352 = -1 · 212 · 37 · 415	Discriminant
Eigenvalues	2- 3-  4  2 -3 -6 -3  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2832,-1548880]	[a1,a2,a3,a4,a6]
Generators	[1633115:57235095:1331]	Generators of the group modulo torsion
j	841232384/347568603	j-invariant
L	5.0128847478093	L(r)(E,1)/r!
Ω	0.23065620685659	Real period
R	10.866572411221	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	369b2 23616bw2 1968j2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 5904o2

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	2	-3	-6	-3	0	-6	-5	-7	-7	+	1	3	6	0	-3	2	-3	-11	-10	-16	10	-12

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Quadratic twists for elliptic curve 5904o2

-4	8	-3
369b2	23616bw2	1968j2

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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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