Cremona's table of elliptic curves

1590 = 2 · 3 · 5 · 53

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 53-	Signs for the Atkin-Lehner involutions
Class	1590o	Isogeny class
Conductor	1590	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	6391289610 = 2 · 34 · 5 · 534	Discriminant
Eigenvalues	2- 3+ 5-  0  0 -2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-580,3515]	[a1,a2,a3,a4,a6]
j	21580151584321/6391289610	j-invariant
L	2.4845794491647	L(r)(E,1)/r!
Ω	1.2422897245823	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12720bh4 50880w3 4770f4 7950j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590o3

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

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Quadratic twists for elliptic curve 1590o3

-4	8	-3	5	-7	53
12720bh4	50880w3	4770f4	7950j3	77910cg3	84270g3

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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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