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	64	Product of Tamagawa factors cp
Δ	583592053522500 = 22 · 32 · 54 · 1110	Discriminant
Eigenvalues	2+ 3- 5-  0 11-  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-30858,1730056]	[a1,a2,a3,a4,a6]
j	1834216913521/329422500	j-invariant
L	1.9668988075265	L(r)(E,1)/r!
Ω	0.49172470188163	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	29040co3 116160p3 10890bn3 18150bw4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630k4

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 3630k4

-4	8	-3	5	-11
29040co3	116160p3	10890bn3	18150bw4	330b3

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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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