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	3630m	Isogeny class
Conductor	3630	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	60688326060933120 = 221 · 33 · 5 · 118	Discriminant
Eigenvalues	2+ 3- 5-  5 11-  5 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-6392433,-6221337212]	[a1,a2,a3,a4,a6]
j	134766108430924201/283115520	j-invariant
L	2.5635797684587	L(r)(E,1)/r!
Ω	0.094947398831805	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29040ct2 116160bd2 10890bv2 18150ce2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630m2

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 3630m2

-4	8	-3	5	-11
29040ct2	116160bd2	10890bv2	18150ce2	3630z2

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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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