Cremona's table of elliptic curves

3306 = 2 · 3 · 19 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 19- 29+	Signs for the Atkin-Lehner involutions
Class	3306d	Isogeny class
Conductor	3306	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	1600	Modular degree for the optimal curve
Δ	3976086528 = 210 · 35 · 19 · 292	Discriminant
Eigenvalues	2+ 3-  0  0  0 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-406,-856]	[a1,a2,a3,a4,a6]
Generators	[-11:53:1]	Generators of the group modulo torsion
j	7375020369625/3976086528	j-invariant
L	3.0181871245097	L(r)(E,1)/r!
Ω	1.1330246783549	Real period
R	0.53276635225491	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	26448j1 105792h1 9918t1 82650bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3306d1

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	0	0	-4	0	-	0	+	-6	10	2	-4	-10	2	-8	-2	6	8	-14	-6	6	-6	-16

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Quadratic twists for elliptic curve 3306d1

-4	8	-3	5	-19	29
26448j1	105792h1	9918t1	82650bn1	62814n1	95874i1

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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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