Cremona's table of elliptic curves

16320 = 2⁶ · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 17+	Signs for the Atkin-Lehner involutions
Conductor	16320	Conductor
Count	4	Number of curves in isogeny class
Curves	16320by1 16320by2 16320by3 16320by4	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5-  0  0  2 17+  4	Hecke eigenvalues for primes less than 20
L	4.6462635687153	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	16320bf 4080k 48960ep 81600ik	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 16320by

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
-	+	-	0	0	2	+	4	0	-10	8	6	-2	-8	0	-2	-12	-14	-8	-4	6	16	4	-6	-2

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Quadratic twists for isogeny class 16320by

-4	8	-3	5
16320bf	4080k	48960ep	81600ik

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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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