Cremona's table of elliptic curves

2590 = 2 · 5 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 37+	Signs for the Atkin-Lehner involutions
Class	2590a	Isogeny class
Conductor	2590	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	896	Modular degree for the optimal curve
Δ	-23957500 = -1 · 22 · 54 · 7 · 372	Discriminant
Eigenvalues	2+  2 5+ 7+ -4  6  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,67,137]	[a1,a2,a3,a4,a6]
Generators	[16:67:1]	Generators of the group modulo torsion
j	32492296871/23957500	j-invariant
L	3.032230376395	L(r)(E,1)/r!
Ω	1.3589907898233	Real period
R	1.1156184424139	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	20720l1 82880q1 23310br1 12950o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2590a1

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

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Quadratic twists for elliptic curve 2590a1

-4	8	-3	5	-7	37
20720l1	82880q1	23310br1	12950o1	18130k1	95830y1

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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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