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	12	Product of Tamagawa factors cp
Δ	-2.4949063822701E+19	Discriminant
Eigenvalues	2- 3-  2  0 11+  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-824999,-375212937]	[a1,a2,a3,a4,a6]
j	-85183593440646799657/34223681512621656	j-invariant
L	3.7280642403932	L(r)(E,1)/r!
Ω	0.077668005008192	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	26928bt3 107712cj3 1122c4 84150bc3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366m4

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 3366m4

-4	8	-3	5	-11	17
26928bt3	107712cj3	1122c4	84150bc3	37026j3	57222bu3

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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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