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	6720bu	Isogeny class
Conductor	6720	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	27992463056732160 = 215 · 320 · 5 · 72	Discriminant
Eigenvalues	2- 3+ 5- 7-  4  6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-89185,6377665]	[a1,a2,a3,a4,a6]
j	2394165105226952/854262178245	j-invariant
L	2.7438228113532	L(r)(E,1)/r!
Ω	0.34297785141916	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6720ci3 3360k2 20160ej3 33600gf4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720bu3

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

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Quadratic twists for elliptic curve 6720bu3

-4	8	-3	5	-7
6720ci3	3360k2	20160ej3	33600gf4	47040gh4

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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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