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	16320bs	Isogeny class
Conductor	16320	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-277102632960000 = -1 · 216 · 34 · 54 · 174	Discriminant
Eigenvalues	2- 3+ 5+  0  0  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2721,-801855]	[a1,a2,a3,a4,a6]
Generators	[120:765:1]	Generators of the group modulo torsion
j	-34008619684/4228250625	j-invariant
L	3.9089049731943	L(r)(E,1)/r!
Ω	0.24386143350766	Real period
R	2.0036506577574	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	16320z4 4080o4 48960fc3 81600ht3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320bs4

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

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Quadratic twists for elliptic curve 16320bs4

-4	8	-3	5
16320z4	4080o4	48960fc3	81600ht3

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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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