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	6720ce	Isogeny class
Conductor	6720	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	105369600 = 212 · 3 · 52 · 73	Discriminant
Eigenvalues	2- 3- 5+ 7- -6 -4  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5481,-158025]	[a1,a2,a3,a4,a6]
j	4446542056384/25725	j-invariant
L	1.664559818486	L(r)(E,1)/r!
Ω	0.55485327282867	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	6720bk2 3360r1 20160fl2 33600eu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720ce2

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
-	-	+	-	-6	-4	6	-6	-4	2	-2	-6	6	12	0	4	4	10	12	2	16	4	12	-6	-12

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Quadratic twists for elliptic curve 6720ce2

-4	8	-3	5	-7
6720bk2	3360r1	20160fl2	33600eu2	47040fq2

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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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