Cremona's table of elliptic curves

16560 = 2⁴ · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 23+	Signs for the Atkin-Lehner involutions
Class	16560q	Isogeny class
Conductor	16560	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	4.244146875E+20	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1887267,115818626]	[a1,a2,a3,a4,a6]
Generators	[-158:20250:1]	Generators of the group modulo torsion
j	497927680189263938/284271240234375	j-invariant
L	5.4078405105833	L(r)(E,1)/r!
Ω	0.14379593953248	Real period
R	1.1752419192446	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	8280k3 66240ee3 5520a3 82800bd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560q4

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

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Quadratic twists for elliptic curve 16560q4

-4	8	-3	5
8280k3	66240ee3	5520a3	82800bd3

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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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