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	16560bw	Isogeny class
Conductor	16560	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	20160	Modular degree for the optimal curve
Δ	-1876837618800 = -1 · 24 · 36 · 52 · 235	Discriminant
Eigenvalues	2- 3- 5- -2  0 -3 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-657,66231]	[a1,a2,a3,a4,a6]
j	-2688885504/160908575	j-invariant
L	1.3781436547069	L(r)(E,1)/r!
Ω	0.68907182735346	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4140j1 66240en1 1840h1 82800ef1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560bw1

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	-3	-4	4	+	-1	-1	-8	-11	10	-1	6	-8	-8	-12	13	7	12	16	6	2

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Quadratic twists for elliptic curve 16560bw1

-4	8	-3	5
4140j1	66240en1	1840h1	82800ef1

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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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