Cremona's table of elliptic curves

3630 = 2 · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	3630v	Isogeny class
Conductor	3630	Conductor
∏ cp	81	Product of Tamagawa factors cp
deg	47520	Modular degree for the optimal curve
Δ	9260303659200000 = 29 · 33 · 55 · 118	Discriminant
Eigenvalues	2- 3- 5+ -1 11-  5 -3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-620551,188045705]	[a1,a2,a3,a4,a6]
j	123286270205329/43200000	j-invariant
L	3.621681594845	L(r)(E,1)/r!
Ω	0.40240906609389	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	29040ca1 116160bx1 10890y1 18150e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630v1

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	-	5	-3	5	0	-3	2	5	6	2	-6	0	0	8	2	9	14	14	-3	-12	-10

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Quadratic twists for elliptic curve 3630v1

-4	8	-3	5	-11
29040ca1	116160bx1	10890y1	18150e1	3630h1

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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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