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	6720cm	Isogeny class
Conductor	6720	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-10584000000000000 = -1 · 215 · 33 · 512 · 72	Discriminant
Eigenvalues	2- 3- 5- 7- -4 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,35615,4231775]	[a1,a2,a3,a4,a6]
Generators	[5:2100:1]	Generators of the group modulo torsion
j	152461584507448/322998046875	j-invariant
L	5.1175270297231	L(r)(E,1)/r!
Ω	0.28110322793419	Real period
R	0.50569867037137	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	6720bp4 3360e4 20160ef4 33600ep3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720cm4

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	0	4	-2	-8	-10	2	4	-4	-10	4	2	4	0	-6	-8	-4	-6	10

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Quadratic twists for elliptic curve 6720cm4

-4	8	-3	5	-7
6720bp4	3360e4	20160ef4	33600ep3	47040eo3

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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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