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	3630n	Isogeny class
Conductor	3630	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	31644193910422500 = 22 · 310 · 54 · 118	Discriminant
Eigenvalues	2- 3+ 5+  0 11- -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-171036,25774233]	[a1,a2,a3,a4,a6]
Generators	[5187:3593:27]	Generators of the group modulo torsion
j	312341975961049/17862322500	j-invariant
L	4.1833102025015	L(r)(E,1)/r!
Ω	0.36465608374284	Real period
R	5.7359665572611	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	29040cu2 116160dz2 10890v2 18150y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630n2

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
-	+	+	0	-	-2	2	-8	4	-2	8	-2	-6	-8	-4	2	4	6	-12	-12	-2	0	-4	-6	-14

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Quadratic twists for elliptic curve 3630n2

-4	8	-3	5	-11
29040cu2	116160dz2	10890v2	18150y2	330a2

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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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