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	3630k	Isogeny class
Conductor	3630	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2557106578620 = 22 · 38 · 5 · 117	Discriminant
Eigenvalues	2+ 3- 5-  0 11-  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-142178,-20646232]	[a1,a2,a3,a4,a6]
j	179415687049201/1443420	j-invariant
L	1.9668988075265	L(r)(E,1)/r!
Ω	0.24586235094081	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29040co4 116160p4 10890bn4 18150bw3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630k3

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	4	0	2	0	-2	-2	12	8	6	-12	-6	4	0	6	16	-4	10	2

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Quadratic twists for elliptic curve 3630k3

-4	8	-3	5	-11
29040co4	116160p4	10890bn4	18150bw3	330b4

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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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