Cremona's table of elliptic curves

6720 = 2⁶ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	6720ck	Isogeny class
Conductor	6720	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	10160640000 = 212 · 34 · 54 · 72	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-665,4263]	[a1,a2,a3,a4,a6]
Generators	[-14:105:1]	Generators of the group modulo torsion
j	7952095936/2480625	j-invariant
L	5.1975759408198	L(r)(E,1)/r!
Ω	1.1913042703502	Real period
R	0.54536612414853	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	6720bo2 3360n1 20160dz2 33600ec2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720ck2

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	-6	-4	-8	2	8	2	-6	0	0	-6	-4	6	-8	0	-14	-8	-4	2	-14

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Quadratic twists for elliptic curve 6720ck2

-4	8	-3	5	-7
6720bo2	3360n1	20160dz2	33600ec2	47040ed2

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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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