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	3630z	Isogeny class
Conductor	3630	Conductor
∏ cp	189	Product of Tamagawa factors cp
deg	6048	Modular degree for the optimal curve
Δ	38106288000 = 27 · 39 · 53 · 112	Discriminant
Eigenvalues	2- 3- 5- -5 11- -5  3  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-855,2025]	[a1,a2,a3,a4,a6]
Generators	[0:45:1]	Generators of the group modulo torsion
j	571305535801/314928000	j-invariant
L	5.564259194708	L(r)(E,1)/r!
Ω	1.0014186581097	Real period
R	0.029398817968198	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	29040cs1 116160be1 10890r1 18150o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630z1

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
-	-	-	-5	-	-5	3	1	-6	-9	-4	5	0	-8	-6	6	-6	-14	-10	3	16	10	-3	-12	-4

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Quadratic twists for elliptic curve 3630z1

-4	8	-3	5	-11
29040cs1	116160be1	10890r1	18150o1	3630m1

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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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