Cremona's table of elliptic curves

14160 = 2⁴ · 3 · 5 · 59

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 59+	Signs for the Atkin-Lehner involutions
Class	14160i	Isogeny class
Conductor	14160	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	1566450000 = 24 · 32 · 55 · 592	Discriminant
Eigenvalues	2+ 3- 5-  4  0 -4 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9355,-351400]	[a1,a2,a3,a4,a6]
Generators	[140:1050:1]	Generators of the group modulo torsion
j	5659545137022976/97903125	j-invariant
L	6.7922258784776	L(r)(E,1)/r!
Ω	0.48543958620658	Real period
R	2.7983815376718	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	7080c1 56640by1 42480i1 70800e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14160i1

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

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Quadratic twists for elliptic curve 14160i1

-4	8	-3	5
7080c1	56640by1	42480i1	70800e1

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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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