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	3306f	Isogeny class
Conductor	3306	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	1872	Modular degree for the optimal curve
Δ	-100092456 = -1 · 23 · 33 · 19 · 293	Discriminant
Eigenvalues	2+ 3- -3  2 -3 -7 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-30,-488]	[a1,a2,a3,a4,a6]
j	-2845178713/100092456	j-invariant
L	0.82473980591728	L(r)(E,1)/r!
Ω	0.82473980591728	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	26448m1 105792f1 9918s1 82650bp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3306f1

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
+	-	-3	2	-3	-7	-6	-	-3	-	2	8	0	8	12	6	15	14	-10	-12	8	8	-12	6	-1

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Quadratic twists for elliptic curve 3306f1

-4	8	-3	5	-19	29
26448m1	105792f1	9918s1	82650bp1	62814m1	95874k1

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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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