Cremona's table of elliptic curves

3366 = 2 · 3² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	3366f	Isogeny class
Conductor	3366	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1835452872 = -1 · 23 · 38 · 112 · 172	Discriminant
Eigenvalues	2+ 3-  2  0 11+ -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,279,949]	[a1,a2,a3,a4,a6]
Generators	[5:47:1]	Generators of the group modulo torsion
j	3288008303/2517768	j-invariant
L	2.8524932899909	L(r)(E,1)/r!
Ω	0.95133813409899	Real period
R	0.74960027033198	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	26928bu2 107712cl2 1122f2 84150es2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366f2

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

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Quadratic twists for elliptic curve 3366f2

-4	8	-3	5	-11	17
26928bu2	107712cl2	1122f2	84150es2	37026bc2	57222v2

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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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