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	16560bd	Isogeny class
Conductor	16560	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	50872320 = 214 · 33 · 5 · 23	Discriminant
Eigenvalues	2- 3+ 5-  4  0  0 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-147,594]	[a1,a2,a3,a4,a6]
Generators	[15:42:1]	Generators of the group modulo torsion
j	3176523/460	j-invariant
L	5.9884109325589	L(r)(E,1)/r!
Ω	1.9214134900523	Real period
R	1.5583347789433	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2070d1 66240dl1 16560bb1 82800cs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560bd1

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	0	-4	-8	+	2	-4	-2	-8	4	8	-6	10	-8	-12	16	-2	6	-2	-6	-10

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Quadratic twists for elliptic curve 16560bd1

-4	8	-3	5
2070d1	66240dl1	16560bb1	82800cs1

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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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