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	7590t	Isogeny class
Conductor	7590	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	280854696038400 = 212 · 34 · 52 · 112 · 234	Discriminant
Eigenvalues	2- 3+ 5-  0 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-16390,-53245]	[a1,a2,a3,a4,a6]
j	486925174907883361/280854696038400	j-invariant
L	2.7603891704475	L(r)(E,1)/r!
Ω	0.46006486174125	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	60720cy2 22770i2 37950v2 83490n2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590t2

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	2	-4	-	6	0	6	-6	4	0	-10	12	14	-4	8	10	16	12	-6	-6

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Quadratic twists for elliptic curve 7590t2

-4	-3	5	-11
60720cy2	22770i2	37950v2	83490n2

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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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