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	16560bj	Isogeny class
Conductor	16560	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	3317760	Modular degree for the optimal curve
Δ	-1.0642848709121E+25	Discriminant
Eigenvalues	2- 3- 5+  2  2 -2  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3279963,-156975958262]	[a1,a2,a3,a4,a6]
Generators	[31228453426119409:260314193443713750:5555577996431]	Generators of the group modulo torsion
j	-1306902141891515161/3564268498800000000	j-invariant
L	4.9089131746442	L(r)(E,1)/r!
Ω	0.032685298931427	Real period
R	18.773398649891	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	2070o1 66240fn1 5520be1 82800eg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560bj1

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	2	-2	0	-8	+	10	-8	8	6	-12	8	-10	4	12	4	16	-10	-10	-10	0	10

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Quadratic twists for elliptic curve 16560bj1

-4	8	-3	5
2070o1	66240fn1	5520be1	82800eg1

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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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