Cremona's table of elliptic curves

9016 = 2³ · 7² · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 23-	Signs for the Atkin-Lehner involutions
Class	9016h	Isogeny class
Conductor	9016	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	-566617183321971712 = -1 · 210 · 711 · 234	Discriminant
Eigenvalues	2+  2  0 7-  0  0  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,205392,-5357092]	[a1,a2,a3,a4,a6]
Generators	[124397:5580030:2197]	Generators of the group modulo torsion
j	7953970437500/4703287687	j-invariant
L	6.0951744618672	L(r)(E,1)/r!
Ω	0.17055901662465	Real period
R	8.9341135146213	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	18032f1 72128u1 81144bi1 1288f1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9016h1

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
+	2	0	-	0	0	6	-6	-	-6	-8	2	2	-8	8	-2	6	0	-12	-8	6	-16	-6	-6	14

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Quadratic twists for elliptic curve 9016h1

-4	8	-3	-7
18032f1	72128u1	81144bi1	1288f1

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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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