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	2590c	Isogeny class
Conductor	2590	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	3960	Modular degree for the optimal curve
Δ	-16187500000 = -1 · 25 · 59 · 7 · 37	Discriminant
Eigenvalues	2+ -2 5- 7-  6  5  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2803,57198]	[a1,a2,a3,a4,a6]
j	-2434278488702761/16187500000	j-invariant
L	1.244942231983	L(r)(E,1)/r!
Ω	1.244942231983	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	20720n1 82880j1 23310bo1 12950l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2590c1

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	-	-	6	5	0	2	3	3	5	-	0	-10	-9	9	6	8	-13	3	-7	-10	0	-15	-10

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Quadratic twists for elliptic curve 2590c1

-4	8	-3	5	-7	37
20720n1	82880j1	23310bo1	12950l1	18130e1	95830v1

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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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