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	3630t	Isogeny class
Conductor	3630	Conductor
∏ cp	448	Product of Tamagawa factors cp
Δ	-1018581078240000 = -1 · 28 · 314 · 54 · 113	Discriminant
Eigenvalues	2- 3- 5+ -2 11+ -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,2489,1534985]	[a1,a2,a3,a4,a6]
Generators	[398:-8299:1]	Generators of the group modulo torsion
j	1281177907381/765275040000	j-invariant
L	5.3656493814667	L(r)(E,1)/r!
Ω	0.38413229082585	Real period
R	0.12471636701018	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29040bt2 116160bj2 10890t2 18150b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630t2

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	-6	2	4	-2	-8	10	2	-6	-8	-10	0	-12	-4	-8	-8	-6	8	-6	10

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Quadratic twists for elliptic curve 3630t2

-4	8	-3	5	-11
29040bt2	116160bj2	10890t2	18150b2	3630g2

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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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