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	20160dx	Isogeny class
Conductor	20160	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	81663349824000000 = 212 · 312 · 56 · 74	Discriminant
Eigenvalues	2- 3- 5+ 7+ -4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-155748,19252928]	[a1,a2,a3,a4,a6]
Generators	[-196:6500:1]	Generators of the group modulo torsion
j	139927692143296/27348890625	j-invariant
L	4.1034821129008	L(r)(E,1)/r!
Ω	0.32459004863575	Real period
R	3.160511335874	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	20160ef2 10080bw1 6720bp2 100800nw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160dx2

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	2	0	4	2	8	-10	-2	-4	-4	10	4	2	-4	0	-6	8	-4	6	10

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Quadratic twists for elliptic curve 20160dx2

-4	8	-3	5
20160ef2	10080bw1	6720bp2	100800nw2

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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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