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	6720cg	Isogeny class
Conductor	6720	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-4875992432640000 = -1 · 221 · 312 · 54 · 7	Discriminant
Eigenvalues	2- 3- 5- 7+  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5185,-3364417]	[a1,a2,a3,a4,a6]
j	-58818484369/18600435000	j-invariant
L	2.3249357146615	L(r)(E,1)/r!
Ω	0.19374464288846	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6720l5 1680k5 20160dr5 33600ex4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720cg5

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

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Quadratic twists for elliptic curve 6720cg5

-4	8	-3	5	-7
6720l5	1680k5	20160dr5	33600ex4	47040ec4

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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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