Cremona's table of elliptic curves

20160 = 2⁶ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	20160bg	Isogeny class
Conductor	20160	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	1632960 = 26 · 36 · 5 · 7	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-423,3348]	[a1,a2,a3,a4,a6]
Generators	[16:26:1] [28:116:1]	Generators of the group modulo torsion
j	179406144/35	j-invariant
L	6.7979200130651	L(r)(E,1)/r!
Ω	2.5885637966389	Real period
R	5.2522715661029	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20160br1 10080y3 2240e1 100800fo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160bg1

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	-6	-4	-8	6	0	-10	-10	12	0	-6	-12	-2	4	-12	-10	4	0	-18	-10

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Quadratic twists for elliptic curve 20160bg1

-4	8	-3	5
20160br1	10080y3	2240e1	100800fo1

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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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