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	3366c	Isogeny class
Conductor	3366	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	47817893020194 = 2 · 38 · 118 · 17	Discriminant
Eigenvalues	2+ 3- -2  4 11+ -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-17433,825475]	[a1,a2,a3,a4,a6]
j	803760366578833/65593817586	j-invariant
L	1.242901010277	L(r)(E,1)/r!
Ω	0.62145050513852	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	26928bp4 107712bz4 1122h3 84150fj4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366c3

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

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Quadratic twists for elliptic curve 3366c3

-4	8	-3	5	-11	17
26928bp4	107712bz4	1122h3	84150fj4	37026bn4	57222u4

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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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