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	7590k	Isogeny class
Conductor	7590	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	83360930070528000 = 224 · 33 · 53 · 112 · 233	Discriminant
Eigenvalues	2+ 3- 5+ -4 11- -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-840474,-296319284]	[a1,a2,a3,a4,a6]
Generators	[-34060:52803:64]	Generators of the group modulo torsion
j	65659235038126833886489/83360930070528000	j-invariant
L	2.9351417086745	L(r)(E,1)/r!
Ω	0.15768909300934	Real period
R	6.2044910709215	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	60720bk3 22770bt3 37950cd3 83490cf3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590k3

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	0	2	+	0	8	2	0	8	0	6	12	8	-4	-12	-16	-10	-6	-6	2

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Quadratic twists for elliptic curve 7590k3

-4	-3	5	-11
60720bk3	22770bt3	37950cd3	83490cf3

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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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