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	16560c	Isogeny class
Conductor	16560	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-333193824000 = -1 · 28 · 39 · 53 · 232	Discriminant
Eigenvalues	2+ 3+ 5+  2  0 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,297,27702]	[a1,a2,a3,a4,a6]
Generators	[-11:152:1]	Generators of the group modulo torsion
j	574992/66125	j-invariant
L	4.6974578443083	L(r)(E,1)/r!
Ω	0.73905484137948	Real period
R	3.1780170978518	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	8280c1 66240dv1 16560h1 82800h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560c1

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
+	+	+	2	0	-2	-6	0	+	0	0	-8	12	2	8	10	14	2	-2	2	-6	0	-4	10	-12

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Quadratic twists for elliptic curve 16560c1

-4	8	-3	5
8280c1	66240dv1	16560h1	82800h1

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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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