Cremona's table of elliptic curves

20160 = 2⁶ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	20160ff	Isogeny class
Conductor	20160	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	2.322868617216E+20	Discriminant
Eigenvalues	2- 3- 5- 7-  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4348812,-3412742384]	[a1,a2,a3,a4,a6]
Generators	[-1243:8505:1]	Generators of the group modulo torsion
j	47595748626367201/1215506250000	j-invariant
L	6.290357631351	L(r)(E,1)/r!
Ω	0.10470884936773	Real period
R	1.8773358428318	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	20160ce4 5040bi3 6720cd4 100800lv3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160ff3

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	2	-2	4	-8	-2	0	-6	6	-4	0	-10	-12	-14	-12	-8	10	-16	12	-10	2

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Quadratic twists for elliptic curve 20160ff3

-4	8	-3	5
20160ce4	5040bi3	6720cd4	100800lv3

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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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