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	3366o	Isogeny class
Conductor	3366	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	230059192390401132 = 22 · 326 · 113 · 17	Discriminant
Eigenvalues	2- 3- -2  4 11+  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4355456,-3497469033]	[a1,a2,a3,a4,a6]
j	12534210458299016895673/315581882565708	j-invariant
L	3.3441965090265	L(r)(E,1)/r!
Ω	0.10450614090708	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	26928by4 107712ch4 1122b3 84150bm4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366o3

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	4	+	6	-	4	0	-2	0	-10	10	-4	-4	2	0	2	12	0	-10	4	12	14	18

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Quadratic twists for elliptic curve 3366o3

-4	8	-3	5	-11	17
26928by4	107712ch4	1122b3	84150bm4	37026m4	57222bt4

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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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