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	3306c	Isogeny class
Conductor	3306	Conductor
∏ cp	44	Product of Tamagawa factors cp
deg	384384	Modular degree for the optimal curve
Δ	6.8575737642171E+19	Discriminant
Eigenvalues	2+ 3- -4  0 -4  0  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-25392758,-49251261688]	[a1,a2,a3,a4,a6]
j	1810728381321177064113521881/68575737642171236352	j-invariant
L	0.73980244164349	L(r)(E,1)/r!
Ω	0.067254767422136	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	26448o1 105792m1 9918q1 82650bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3306c1

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	-4	0	4	+	0	+	-10	-6	-6	12	-2	-6	-4	10	14	-8	2	-2	18	2	12

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Quadratic twists for elliptic curve 3306c1

-4	8	-3	5	-19	29
26448o1	105792m1	9918q1	82650bi1	62814q1	95874n1

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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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