Cremona's table of elliptic curves

3663 = 3² · 11 · 37

Field	Data	Notes
Atkin-Lehner	3- 11- 37-	Signs for the Atkin-Lehner involutions
Class	3663d	Isogeny class
Conductor	3663	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	192720169917 = 316 · 112 · 37	Discriminant
Eigenvalues	1 3-  0 -4 11-  4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2277,-35532]	[a1,a2,a3,a4,a6]
j	1791399948625/264362373	j-invariant
L	1.395870837394	L(r)(E,1)/r!
Ω	0.697935418697	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	58608be2 1221b2 91575bi2 40293m2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 3663d2

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
1	-	0	-4	-	4	-2	-2	-6	6	0	-	6	-10	12	14	-6	0	-4	0	-6	10	12	-4	18

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Quadratic twists for elliptic curve 3663d2

-4	-3	5	-11
58608be2	1221b2	91575bi2	40293m2

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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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