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	16320db	Isogeny class
Conductor	16320	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-159805440 = -1 · 212 · 33 · 5 · 172	Discriminant
Eigenvalues	2- 3- 5- -2 -4 -4 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,135,135]	[a1,a2,a3,a4,a6]
Generators	[3:24:1]	Generators of the group modulo torsion
j	65939264/39015	j-invariant
L	5.5972729398166	L(r)(E,1)/r!
Ω	1.1081909109891	Real period
R	0.84180335179808	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	16320ce1 8160b1 48960eh1 81600fn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320db1

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
-	-	-	-2	-4	-4	-	0	4	6	8	2	0	-2	0	-6	-6	2	-10	6	4	-4	4	-18	16

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Quadratic twists for elliptic curve 16320db1

-4	8	-3	5
16320ce1	8160b1	48960eh1	81600fn1

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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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