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	3168u	Isogeny class
Conductor	3168	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	26937681408 = 29 · 314 · 11	Discriminant
Eigenvalues	2- 3-  2  0 11+ -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1299,-16198]	[a1,a2,a3,a4,a6]
Generators	[-158:335:8]	Generators of the group modulo torsion
j	649461896/72171	j-invariant
L	3.7107745074984	L(r)(E,1)/r!
Ω	0.80097925270815	Real period
R	4.6327972852631	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	3168m3 6336bc3 1056c3 79200w3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3168u2

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	0	+	-6	-2	4	-4	-2	4	-2	-10	4	-4	-6	-12	-6	4	-4	10	16	4	-10	2

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Quadratic twists for elliptic curve 3168u2

-4	8	-3	5	-11
3168m3	6336bc3	1056c3	79200w3	34848t3

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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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