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	9016i	Isogeny class
Conductor	9016	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	135772593152 = 210 · 78 · 23	Discriminant
Eigenvalues	2+ -2  0 7-  4 -6  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-23928,-1432544]	[a1,a2,a3,a4,a6]
Generators	[695:17836:1]	Generators of the group modulo torsion
j	12576878500/1127	j-invariant
L	2.8761625217213	L(r)(E,1)/r!
Ω	0.38386081169629	Real period
R	3.7463612253248	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	18032d2 72128q2 81144bn2 1288b2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9016i2

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	-	4	-6	0	0	-	2	-2	2	6	4	2	14	-14	-12	-4	0	2	-8	4	16	-4

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Quadratic twists for elliptic curve 9016i2

-4	8	-3	-7
18032d2	72128q2	81144bn2	1288b2

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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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