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	3366q	Isogeny class
Conductor	3366	Conductor
∏ cp	240	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	861439214592 = 210 · 37 · 113 · 172	Discriminant
Eigenvalues	2- 3- -2 -2 11-  0 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2381,2805]	[a1,a2,a3,a4,a6]
Generators	[-37:216:1]	Generators of the group modulo torsion
j	2046931732873/1181672448	j-invariant
L	4.3875142039139	L(r)(E,1)/r!
Ω	0.75577934518852	Real period
R	0.096754743560314	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	26928bk1 107712bk1 1122a1 84150ch1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366q1

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	-2	-	0	-	-2	6	-2	0	2	-2	-10	-4	-4	-6	-10	-12	-6	-4	-2	12	2	-6

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Quadratic twists for elliptic curve 3366q1

-4	8	-3	5	-11	17
26928bk1	107712bk1	1122a1	84150ch1	37026l1	57222bi1

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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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