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	16	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-224492209920 = -1 · 28 · 32 · 5 · 117	Discriminant
Eigenvalues	2+ 3- 5-  0 11-  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,602,-22024]	[a1,a2,a3,a4,a6]
j	13651919/126720	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	2	Number of elements in the torsion subgroup
Twists	29040co1 116160p1 10890bn1 18150bw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3630k1

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 3630k1

-4	8	-3	5	-11
29040co1	116160p1	10890bn1	18150bw1	330b1

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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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