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	3306g	Isogeny class
Conductor	3306	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	15263802 = 2 · 36 · 192 · 29	Discriminant
Eigenvalues	2- 3+ -4  0  0  4 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-320,-2329]	[a1,a2,a3,a4,a6]
Generators	[-82:43:8]	Generators of the group modulo torsion
j	3624586490881/15263802	j-invariant
L	3.5045823093124	L(r)(E,1)/r!
Ω	1.1290547938774	Real period
R	3.1039966601416	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	26448v2 105792y2 9918g2 82650q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3306g2

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

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Quadratic twists for elliptic curve 3306g2

-4	8	-3	5	-19	29
26448v2	105792y2	9918g2	82650q2	62814g2	95874g2

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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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