Cremona's table of elliptic curves

14168 = 2³ · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11- 23-	Signs for the Atkin-Lehner involutions
Class	14168c	Isogeny class
Conductor	14168	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	10752265216 = 210 · 73 · 113 · 23	Discriminant
Eigenvalues	2+ -3  3 7+ 11-  1 -6 -3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-691,-4898]	[a1,a2,a3,a4,a6]
Generators	[-17:44:1]	Generators of the group modulo torsion
j	35633452068/10500259	j-invariant
L	3.3646389367363	L(r)(E,1)/r!
Ω	0.95226344098686	Real period
R	0.58888447459621	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28336h1 113344n1 127512ba1 99176l1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14168c1

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
+	-3	3	+	-	1	-6	-3	-	6	0	-2	-3	10	-11	10	-8	8	-7	4	-3	0	-5	7	-9

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Quadratic twists for elliptic curve 14168c1

-4	8	-3	-7
28336h1	113344n1	127512ba1	99176l1

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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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