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	9016f	Isogeny class
Conductor	9016	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-2770869248 = -1 · 210 · 76 · 23	Discriminant
Eigenvalues	2+  0  0 7-  6  2 -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,245,-2058]	[a1,a2,a3,a4,a6]
Generators	[10052:126567:64]	Generators of the group modulo torsion
j	13500/23	j-invariant
L	4.4758522179512	L(r)(E,1)/r!
Ω	0.75405606539059	Real period
R	5.9357021624549	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	18032a1 72128k1 81144bq1 184c1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9016f1

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	0	-	6	2	-6	6	-	-6	0	-8	-6	-2	8	-8	-4	4	2	-8	-6	12	-10	-10	18

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Quadratic twists for elliptic curve 9016f1

-4	8	-3	-7
18032a1	72128k1	81144bq1	184c1

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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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