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	16560by	Isogeny class
Conductor	16560	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	62670056140800 = 212 · 37 · 52 · 234	Discriminant
Eigenvalues	2- 3- 5- -4 -4 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-59187,-5529166]	[a1,a2,a3,a4,a6]
Generators	[-142:110:1] [-137:90:1]	Generators of the group modulo torsion
j	7679186557489/20988075	j-invariant
L	6.6427673725154	L(r)(E,1)/r!
Ω	0.30613593760179	Real period
R	5.4246876604506	Regulator
r	2	Rank of the group of rational points
S	0.99999999999996	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1035f4 66240eq4 5520p4 82800er4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560by3

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

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Quadratic twists for elliptic curve 16560by3

-4	8	-3	5
1035f4	66240eq4	5520p4	82800er4

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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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