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	16560ca	Isogeny class
Conductor	16560	Conductor
∏ cp	80	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-947751321600000 = -1 · 218 · 37 · 55 · 232	Discriminant
Eigenvalues	2- 3- 5-  0  2  0 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,19293,-1063006]	[a1,a2,a3,a4,a6]
Generators	[113:1600:1]	Generators of the group modulo torsion
j	265971760991/317400000	j-invariant
L	5.3444147101399	L(r)(E,1)/r!
Ω	0.26635343052868	Real period
R	1.0032562185386	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	2070g1 66240eu1 5520l1 82800cw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560ca1

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	2	0	-6	-4	-	0	8	-6	2	2	4	2	0	-2	2	-10	-10	0	-4	-4	16

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Quadratic twists for elliptic curve 16560ca1

-4	8	-3	5
2070g1	66240eu1	5520l1	82800cw1

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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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