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
Conductor	16560	Conductor
Count	4	Number of curves in isogeny class
Curves	16560by1 16560by2 16560by3 16560by4	Curves in isogeny class
deg	20480	Modular degree for the optimal curve
Eigenvalues	2- 3- 5- -4 -4 -2 -6 -8	Hecke eigenvalues for primes less than 20
L	6.6427673725154	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	1035f 66240eq 5520p 82800er	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 16560by

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 isogeny class 16560by

-4	8	-3	5
1035f	66240eq	5520p	82800er

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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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