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	2590f	Isogeny class
Conductor	2590	Conductor
∏ cp	77	Product of Tamagawa factors cp
deg	1204280	Modular degree for the optimal curve
Δ	-5.3795806359542E+25	Discriminant
Eigenvalues	2-  2 5- 7+  6 -3  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-242377195,1494552244057]	[a1,a2,a3,a4,a6]
j	-1574704170311588536689715160881/53795806359541618750000000	j-invariant
L	4.824403048821	L(r)(E,1)/r!
Ω	0.062654585049623	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20720t1 82880e1 23310l1 12950d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2590f1

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	-3	4	-2	5	-3	5	-	-4	-2	-7	9	-6	4	3	-5	7	14	-16	-7	-6

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Quadratic twists for elliptic curve 2590f1

-4	8	-3	5	-7	37
20720t1	82880e1	23310l1	12950d1	18130q1	95830c1

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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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