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	3366h	Isogeny class
Conductor	3366	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	53983908 = 22 · 38 · 112 · 17	Discriminant
Eigenvalues	2+ 3-  2  0 11- -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3554496,2580267820]	[a1,a2,a3,a4,a6]
Generators	[1095:-190:1]	Generators of the group modulo torsion
j	6812873765474836663297/74052	j-invariant
L	2.912237725318	L(r)(E,1)/r!
Ω	0.68353985234361	Real period
R	2.1302618386719	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	26928bc6 107712ba6 1122e5 84150ft6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366h5

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	0	2	-8	-10	6	4	-8	-6	12	-10	4	-16	2	-8	12	-10	2

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Quadratic twists for elliptic curve 3366h5

-4	8	-3	5	-11	17
26928bc6	107712ba6	1122e5	84150ft6	37026bi6	57222j6

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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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