Cremona's table of elliptic curves

2632 = 2³ · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 7- 47+	Signs for the Atkin-Lehner involutions
Class	2632d	Isogeny class
Conductor	2632	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	1280	Modular degree for the optimal curve
Δ	-808887296 = -1 · 210 · 75 · 47	Discriminant
Eigenvalues	2-  1  1 7-  1 -2 -8  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-960,11216]	[a1,a2,a3,a4,a6]
Generators	[40:196:1]	Generators of the group modulo torsion
j	-95651055364/789929	j-invariant
L	3.9129620764231	L(r)(E,1)/r!
Ω	1.5976120705111	Real period
R	0.244925670546	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5264a1 21056j1 23688k1 65800a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2632d1

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	1	-	1	-2	-8	2	-8	-8	-8	7	-9	13	+	9	9	8	-16	-6	3	2	-7	-4	12

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Quadratic twists for elliptic curve 2632d1

-4	8	-3	5	-7	-47
5264a1	21056j1	23688k1	65800a1	18424f1	123704h1

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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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