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	1590h	Isogeny class
Conductor	1590	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	3792150 = 2 · 33 · 52 · 532	Discriminant
Eigenvalues	2+ 3- 5+ -2  4 -4 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-294,-1958]	[a1,a2,a3,a4,a6]
Generators	[-10:6:1]	Generators of the group modulo torsion
j	2796665386969/3792150	j-invariant
L	2.3080741370054	L(r)(E,1)/r!
Ω	1.1535201495061	Real period
R	0.66696541538337	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	12720r2 50880o2 4770bd2 7950bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590h2

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	-4	-4	4	-8	2	-2	4	-4	-4	-8	-	-12	12	4	-16	-10	-10	0	-6	10

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Quadratic twists for elliptic curve 1590h2

-4	8	-3	5	-7	53
12720r2	50880o2	4770bd2	7950bc2	77910t2	84270be2

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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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