Cremona's table of elliptic curves

16560 = 2⁴ · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	16560bp	Isogeny class
Conductor	16560	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	515082240000 = 214 · 37 · 54 · 23	Discriminant
Eigenvalues	2- 3- 5+  0  4 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-212043,-37582342]	[a1,a2,a3,a4,a6]
j	353108405631241/172500	j-invariant
L	1.7798506822597	L(r)(E,1)/r!
Ω	0.22248133528246	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	2070n3 66240fu4 5520r3 82800cx4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560bp3

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

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Quadratic twists for elliptic curve 16560bp3

-4	8	-3	5
2070n3	66240fu4	5520r3	82800cx4

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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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