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	16320q	Isogeny class
Conductor	16320	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	-1.896129E+20	Discriminant
Eigenvalues	2+ 3+ 5-  0  2 -2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1630865,1040511537]	[a1,a2,a3,a4,a6]
Generators	[-1021:40500:1]	Generators of the group modulo torsion
j	-29279123829148431184/11573052978515625	j-invariant
L	4.4399256141107	L(r)(E,1)/r!
Ω	0.16841669813721	Real period
R	0.94152642633656	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	16320cy2 1020f2 48960bf2 81600cm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320q2

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	2	-2	-	-8	4	-2	2	-6	2	2	6	6	8	-10	2	2	-2	10	2	-2	2

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Quadratic twists for elliptic curve 16320q2

-4	8	-3	5
16320cy2	1020f2	48960bf2	81600cm2

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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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