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	530916249600 = 212 · 34 · 52 · 112 · 232	Discriminant
Eigenvalues	2+ 3+ 5-  4 11-  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-22082,1253364]	[a1,a2,a3,a4,a6]
Generators	[35:707:1]	Generators of the group modulo torsion
j	1190884543636720681/530916249600	j-invariant
L	3.3409109160129	L(r)(E,1)/r!
Ω	0.91149942679318	Real period
R	1.8326456483724	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	60720cw2 22770bn2 37950df2 83490bv2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590g2

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 7590g2

-4	-3	5	-11
60720cw2	22770bn2	37950df2	83490bv2

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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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