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	14160q	Isogeny class
Conductor	14160	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	13367040 = 28 · 3 · 5 · 592	Discriminant
Eigenvalues	2- 3+ 5-  0  0 -4 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-60,60]	[a1,a2,a3,a4,a6]
Generators	[106:301:8]	Generators of the group modulo torsion
j	94875856/52215	j-invariant
L	4.0354502816909	L(r)(E,1)/r!
Ω	1.9441199005864	Real period
R	4.1514417711312	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	3540h2 56640ct2 42480bo2 70800cf2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14160q2

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
-	+	-	0	0	-4	-6	0	2	-6	10	4	2	8	-2	2	+	-2	8	8	12	-4	-6	-8	8

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Quadratic twists for elliptic curve 14160q2

-4	8	-3	5
3540h2	56640ct2	42480bo2	70800cf2

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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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