Cremona's table of elliptic curves

1656 = 2³ · 3² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 23-	Signs for the Atkin-Lehner involutions
Class	1656i	Isogeny class
Conductor	1656	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-268272 = -1 · 24 · 36 · 23	Discriminant
Eigenvalues	2- 3-  2 -4  2  7  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-39,-97]	[a1,a2,a3,a4,a6]
j	-562432/23	j-invariant
L	1.9058747776828	L(r)(E,1)/r!
Ω	0.95293738884139	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3312c1 13248x1 184b1 41400h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1656i1

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	2	7	4	-6	-	-5	3	2	9	8	1	6	8	-10	2	13	-3	6	0	4	-8

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Quadratic twists for elliptic curve 1656i1

-4	8	-3	5	-7	-23
3312c1	13248x1	184b1	41400h1	81144cb1	38088ba1

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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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