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	7590g	Isogeny class
Conductor	7590	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-807856192440000 = -1 · 26 · 38 · 54 · 11 · 234	Discriminant
Eigenvalues	2+ 3+ 5-  4 11-  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-18562,1670836]	[a1,a2,a3,a4,a6]
Generators	[-68:1654:1]	Generators of the group modulo torsion
j	-707350352645673001/807856192440000	j-invariant
L	3.3409109160129	L(r)(E,1)/r!
Ω	0.45574971339659	Real period
R	0.91632282418618	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	60720cw3 22770bn3 37950df3 83490bv3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590g4

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	-6	4	+	-10	0	6	-6	-8	-8	6	-12	-14	-12	0	6	-16	-16	-6	-14

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Quadratic twists for elliptic curve 7590g4

-4	-3	5	-11
60720cw3	22770bn3	37950df3	83490bv3

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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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