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	7590d	Isogeny class
Conductor	7590	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	80640	Modular degree for the optimal curve
Δ	-213468750 = -1 · 2 · 33 · 56 · 11 · 23	Discriminant
Eigenvalues	2+ 3+ 5- -1 11- -3  4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1407677,-643426509]	[a1,a2,a3,a4,a6]
Generators	[1567:30864:1]	Generators of the group modulo torsion
j	-308484422503771629884761/213468750	j-invariant
L	2.6522699758737	L(r)(E,1)/r!
Ω	0.069301680370486	Real period
R	6.3785610048095	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	60720cr1 22770bh1 37950cy1 83490bo1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590d1

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
+	+	-	-1	-	-3	4	-6	+	0	5	11	-11	-8	12	-4	13	-4	13	-10	-4	-16	9	14	-14

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Quadratic twists for elliptic curve 7590d1

-4	-3	5	-11
60720cr1	22770bh1	37950cy1	83490bo1

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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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