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	3366n	Isogeny class
Conductor	3366	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	57378524102856 = 23 · 320 · 112 · 17	Discriminant
Eigenvalues	2- 3-  2 -2 11+  0 17-  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-11039,260543]	[a1,a2,a3,a4,a6]
j	204055591784617/78708537864	j-invariant
L	3.4256344671667	L(r)(E,1)/r!
Ω	0.57093907786112	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	26928bw2 107712cn2 1122d2 84150be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366n2

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	-	6	6	2	4	-10	6	-10	12	4	10	10	-4	-6	16	6	4	2	2

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Quadratic twists for elliptic curve 3366n2

-4	8	-3	5	-11	17
26928bw2	107712cn2	1122d2	84150be2	37026k2	57222bv2

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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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