Cremona's table of elliptic curves

1659 = 3 · 7 · 79

Field	Data	Notes
Atkin-Lehner	3- 7- 79+	Signs for the Atkin-Lehner involutions
Class	1659d	Isogeny class
Conductor	1659	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	24770529 = 34 · 72 · 792	Discriminant
Eigenvalues	-1 3- -2 7- -4 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-109,-376]	[a1,a2,a3,a4,a6]
Generators	[-7:11:1]	Generators of the group modulo torsion
j	143301984337/24770529	j-invariant
L	1.9945623665783	L(r)(E,1)/r!
Ω	1.4949288196377	Real period
R	1.3342189543591	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	26544l2 106176g2 4977b2 41475a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1659d2

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
-1	-	-2	-	-4	-2	6	0	8	-2	-4	-2	-2	-12	0	-2	4	2	-4	0	-14	+	-16	2	-6

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Quadratic twists for elliptic curve 1659d2

-4	8	-3	5	-7
26544l2	106176g2	4977b2	41475a2	11613a2

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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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