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	6720i	Isogeny class
Conductor	6720	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-5510648282878771200 = -1 · 216 · 35 · 52 · 712	Discriminant
Eigenvalues	2+ 3+ 5- 7+  0 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,361535,-75984575]	[a1,a2,a3,a4,a6]
j	79743193254623804/84085819746075	j-invariant
L	1.0439849765106	L(r)(E,1)/r!
Ω	0.13049812206382	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	6720cl4 840d4 20160y4 33600cs3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720i4

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

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Quadratic twists for elliptic curve 6720i4

-4	8	-3	5	-7
6720cl4	840d4	20160y4	33600cs3	47040ch3

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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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