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	3366c	Isogeny class
Conductor	3366	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-96673761631458 = -1 · 2 · 314 · 112 · 174	Discriminant
Eigenvalues	2+ 3- -2  4 11+ -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,7227,-411521]	[a1,a2,a3,a4,a6]
j	57258048889007/132611470002	j-invariant
L	1.242901010277	L(r)(E,1)/r!
Ω	0.31072525256926	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	26928bp3 107712bz3 1122h4 84150fj3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366c4

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	+	-2	+	4	4	6	-4	2	-10	4	8	-6	4	-6	12	12	2	4	4	-10	10

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Quadratic twists for elliptic curve 3366c4

-4	8	-3	5	-11	17
26928bp3	107712bz3	1122h4	84150fj3	37026bn3	57222u3

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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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