Cremona's table of elliptic curves

3168 = 2⁵ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 11+	Signs for the Atkin-Lehner involutions
Class	3168v	Isogeny class
Conductor	3168	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	9755209728 = 212 · 39 · 112	Discriminant
Eigenvalues	2- 3-  2 -2 11+ -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1164,-14528]	[a1,a2,a3,a4,a6]
Generators	[-19:27:1]	Generators of the group modulo torsion
j	58411072/3267	j-invariant
L	3.5904649952829	L(r)(E,1)/r!
Ω	0.82020663452482	Real period
R	1.0943781859808	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	3168y2 6336cj1 1056f2 79200y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3168v2

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

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Quadratic twists for elliptic curve 3168v2

-4	8	-3	5	-11
3168y2	6336cj1	1056f2	79200y2	34848u2

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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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