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	1590a	Isogeny class
Conductor	1590	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-970458984375000000 = -1 · 26 · 3 · 520 · 53	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-149178,-52390572]	[a1,a2,a3,a4,a6]
Generators	[307068245:-13001623058:166375]	Generators of the group modulo torsion
j	-367149213333770500009/970458984375000000	j-invariant
L	1.7690060100961	L(r)(E,1)/r!
Ω	0.1128781997948	Real period
R	15.671812744285	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	12720w4 50880bq3 4770bh4 7950bt4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590a4

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

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Quadratic twists for elliptic curve 1590a4

-4	8	-3	5	-7	53
12720w4	50880bq3	4770bh4	7950bt4	77910bb3	84270bn3

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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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