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	7590r	Isogeny class
Conductor	7590	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	1679852196000 = 25 · 38 · 53 · 112 · 232	Discriminant
Eigenvalues	2- 3+ 5-  0 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1365525335,-19422739222963]	[a1,a2,a3,a4,a6]
Generators	[59037:10253026:1]	Generators of the group modulo torsion
j	281593741710042021666079895059441/1679852196000	j-invariant
L	5.5654512683209	L(r)(E,1)/r!
Ω	0.02483559757638	Real period
R	7.46972331577	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	60720db6 22770n6 37950z6 83490h6	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590r5

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

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Quadratic twists for elliptic curve 7590r5

-4	-3	5	-11
60720db6	22770n6	37950z6	83490h6

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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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