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	16560bm	Isogeny class
Conductor	16560	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	10643691600 = 24 · 37 · 52 · 233	Discriminant
Eigenvalues	2- 3- 5+  4  0  2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-109488,-13944337]	[a1,a2,a3,a4,a6]
Generators	[900757:6976728:2197]	Generators of the group modulo torsion
j	12444451776495616/912525	j-invariant
L	5.3306477457473	L(r)(E,1)/r!
Ω	0.26245685833531	Real period
R	10.155283766555	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	4140e3 66240fq3 5520v3 82800es3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560bm3

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

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Quadratic twists for elliptic curve 16560bm3

-4	8	-3	5
4140e3	66240fq3	5520v3	82800es3

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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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