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	128	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	5041357643596032 = 28 · 311 · 113 · 174	Discriminant
Eigenvalues	2- 3- -2  4 11+  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-74516,7063287]	[a1,a2,a3,a4,a6]
j	62768149033310713/6915442583808	j-invariant
L	3.3441965090265	L(r)(E,1)/r!
Ω	0.41802456362831	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	26928by1 107712ch1 1122b1 84150bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366o1

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 3366o1

-4	8	-3	5	-11	17
26928by1	107712ch1	1122b1	84150bm1	37026m1	57222bt1

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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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