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	8	Number of curves in isogeny class
Curves	16320bt1 16320bt2 16320bt3 16320bt4 16320bt5 16320bt6 16320bt7 16320bt8	Curves in isogeny class
deg	24576	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0  4  2 17-  4	Hecke eigenvalues for primes less than 20
L	4.2745513909651	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	16320bb 4080be 48960fd 81600hu	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 16320bt

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

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Quadratic twists for isogeny class 16320bt

-4	8	-3	5
16320bb	4080be	48960fd	81600hu

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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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