Cremona's table of elliptic curves

3666 = 2 · 3 · 13 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 47+	Signs for the Atkin-Lehner involutions
Class	3666n	Isogeny class
Conductor	3666	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-4105784358 = -1 · 2 · 32 · 133 · 473	Discriminant
Eigenvalues	2- 3-  0  2  6 13-  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,392,-730]	[a1,a2,a3,a4,a6]
j	6660589493375/4105784358	j-invariant
L	4.813707369524	L(r)(E,1)/r!
Ω	0.80228456158734	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29328m2 117312b2 10998i2 91650g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3666n2

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	6	-	3	2	6	-9	-7	-1	-9	5	+	0	3	-10	-4	0	2	-1	9	-12	8

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Quadratic twists for elliptic curve 3666n2

-4	8	-3	5	13
29328m2	117312b2	10998i2	91650g2	47658j2

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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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