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	3366g	Isogeny class
Conductor	3366	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-530445880008 = -1 · 23 · 38 · 112 · 174	Discriminant
Eigenvalues	2+ 3- -4 -2 11+  0 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1404,40824]	[a1,a2,a3,a4,a6]
Generators	[-9:234:1]	Generators of the group modulo torsion
j	-420021471169/727634952	j-invariant
L	1.7772668413269	L(r)(E,1)/r!
Ω	0.82811153000534	Real period
R	0.26827105663465	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	26928ca2 107712cr2 1122n2 84150et2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3366g2

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
+	-	-4	-2	+	0	-	0	6	2	4	2	6	-4	6	-8	-8	-8	-4	6	10	-6	4	14	14

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Quadratic twists for elliptic curve 3366g2

-4	8	-3	5	-11	17
26928ca2	107712cr2	1122n2	84150et2	37026be2	57222x2

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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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