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	6720cb	Isogeny class
Conductor	6720	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	-2.6254935E+22	Discriminant
Eigenvalues	2- 3- 5+ 7-  4  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-25427521,49955395679]	[a1,a2,a3,a4,a6]
j	-55486311952875723077768/801237030029296875	j-invariant
L	3.3395860081603	L(r)(E,1)/r!
Ω	0.11927092886287	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6720bi4 3360q4 20160fi4 33600eo3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720cb4

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	6	6	4	-4	2	8	-6	6	-8	0	-6	4	-10	-8	12	-14	-16	12	14	18

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Quadratic twists for elliptic curve 6720cb4

-4	8	-3	5	-7
6720bi4	3360q4	20160fi4	33600eo3	47040fk3

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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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