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	2632c	Isogeny class
Conductor	2632	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	-336896 = -1 · 210 · 7 · 47	Discriminant
Eigenvalues	2- -1  1 7+  3  6 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,0,28]	[a1,a2,a3,a4,a6]
Generators	[-2:4:1]	Generators of the group modulo torsion
j	-4/329	j-invariant
L	2.8818757297674	L(r)(E,1)/r!
Ω	2.4240064242072	Real period
R	0.59444473846847	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	5264b1 21056f1 23688d1 65800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2632c1

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	+	3	6	-4	-6	-8	4	-4	3	3	7	-	-3	-1	-8	8	-14	-9	-14	-9	12	8

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Quadratic twists for elliptic curve 2632c1

-4	8	-3	5	-7	-47
5264b1	21056f1	23688d1	65800c1	18424d1	123704e1

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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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