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	16560w	Isogeny class
Conductor	16560	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	4828896000000 = 211 · 38 · 56 · 23	Discriminant
Eigenvalues	2+ 3- 5- -4 -6 -4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7707,237994]	[a1,a2,a3,a4,a6]
Generators	[-87:500:1] [-22:630:1]	Generators of the group modulo torsion
j	33909572018/3234375	j-invariant
L	6.6020227621391	L(r)(E,1)/r!
Ω	0.74917253789299	Real period
R	0.36718415030192	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8280w2 66240fg2 5520f2 82800bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16560w2

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	-6	-4	-2	0	-	-8	-8	-6	2	-6	-12	-6	4	2	-6	-6	14	0	0	-12	12

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Quadratic twists for elliptic curve 16560w2

-4	8	-3	5
8280w2	66240fg2	5520f2	82800bb2

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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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