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	1590p	Isogeny class
Conductor	1590	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	156303360 = 216 · 32 · 5 · 53	Discriminant
Eigenvalues	2- 3+ 5-  4  4  6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-135,-3]	[a1,a2,a3,a4,a6]
j	272223782641/156303360	j-invariant
L	3.1145140487088	L(r)(E,1)/r!
Ω	1.5572570243544	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12720bk1 50880y1 4770g1 7950p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590p1

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

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Quadratic twists for elliptic curve 1590p1

-4	8	-3	5	-7	53
12720bk1	50880y1	4770g1	7950p1	77910ck1	84270k1

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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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