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
Class	16320cx	Isogeny class
Conductor	16320	Conductor
∏ cp	336	Product of Tamagawa factors cp
Δ	2.0225376E+19	Discriminant
Eigenvalues	2- 3- 5-  4  0 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-107889505,-431373110497]	[a1,a2,a3,a4,a6]
j	1059623036730633329075378/154307373046875	j-invariant
L	3.9349031187526	L(r)(E,1)/r!
Ω	0.046844084747055	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16320p4 4080d3 48960fb4 81600gs4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320cx3

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

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Quadratic twists for elliptic curve 16320cx3

-4	8	-3	5
16320p4	4080d3	48960fb4	81600gs4

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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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