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	7590l	Isogeny class
Conductor	7590	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	39600	Modular degree for the optimal curve
Δ	-43724547900000 = -1 · 25 · 33 · 55 · 113 · 233	Discriminant
Eigenvalues	2+ 3- 5+  2 11- -4  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-87544,9967526]	[a1,a2,a3,a4,a6]
j	-74198604874520830969/43724547900000	j-invariant
L	1.9009190237962	L(r)(E,1)/r!
Ω	0.63363967459873	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	60720bi1 22770br1 37950bz1 83490ci1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590l1

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
+	-	+	2	-	-4	3	2	-	6	5	2	-3	5	9	-9	-9	-10	14	-12	-7	17	-6	3	-7

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Quadratic twists for elliptic curve 7590l1

-4	-3	5	-11
60720bi1	22770br1	37950bz1	83490ci1

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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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