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	20160dk	Isogeny class
Conductor	20160	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	79009136640 = 214 · 39 · 5 · 72	Discriminant
Eigenvalues	2- 3+ 5- 7-  4  0  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3132,-66096]	[a1,a2,a3,a4,a6]
j	10536048/245	j-invariant
L	2.5563432121718	L(r)(E,1)/r!
Ω	0.63908580304295	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	20160r2 5040w2 20160cz2 100800ix2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160dk2

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

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Quadratic twists for elliptic curve 20160dk2

-4	8	-3	5
20160r2	5040w2	20160cz2	100800ix2

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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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