Cremona's table of elliptic curves

7590 = 2 · 3 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 11- 23-	Signs for the Atkin-Lehner involutions
Class	7590h	Isogeny class
Conductor	7590	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	319911052206240000 = 28 · 310 · 54 · 112 · 234	Discriminant
Eigenvalues	2+ 3+ 5- -4 11-  6  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-737832,-242725824]	[a1,a2,a3,a4,a6]
j	44421896119170051148681/319911052206240000	j-invariant
L	1.3037328633665	L(r)(E,1)/r!
Ω	0.16296660792082	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	60720cp2 22770bg2 37950cw2 83490ca2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590h2

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	-	6	6	0	-	2	8	6	6	-8	-8	-2	12	6	4	0	10	-4	-12	-14	-14

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Quadratic twists for elliptic curve 7590h2

-4	-3	5	-11
60720cp2	22770bg2	37950cw2	83490ca2

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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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