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	3366m	Isogeny class
Conductor	3366	Conductor
∏ cp	192	Product of Tamagawa factors cp
deg	21504	Modular degree for the optimal curve
Δ	5999632237006848 = 212 · 313 · 11 · 174	Discriminant
Eigenvalues	2- 3-  2  0 11+  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-59999,-4240569]	[a1,a2,a3,a4,a6]
j	32765849647039657/8229948198912	j-invariant
L	3.7280642403932	L(r)(E,1)/r!
Ω	0.31067202003277	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	26928bt1 107712cj1 1122c1 84150bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366m1

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

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Quadratic twists for elliptic curve 3366m1

-4	8	-3	5	-11	17
26928bt1	107712cj1	1122c1	84150bc1	37026j1	57222bu1

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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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