Cremona's table of elliptic curves

9086 = 2 · 7 · 11 · 59

Field	Data	Notes
Atkin-Lehner	2- 7- 11+ 59+	Signs for the Atkin-Lehner involutions
Class	9086g	Isogeny class
Conductor	9086	Conductor
∏ cp	21	Product of Tamagawa factors cp
deg	7392	Modular degree for the optimal curve
Δ	4275835256 = 23 · 77 · 11 · 59	Discriminant
Eigenvalues	2-  2 -1 7- 11+  1 -1 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1901,30955]	[a1,a2,a3,a4,a6]
Generators	[5:144:1]	Generators of the group modulo torsion
j	759773848711249/4275835256	j-invariant
L	8.5092416120023	L(r)(E,1)/r!
Ω	1.3909652541289	Real period
R	0.29130992332203	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	72688d1 81774ba1 63602q1 99946c1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9086g1

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	-1	-	+	1	-1	-1	-7	-5	-8	-6	-6	5	-6	-12	+	10	10	6	2	-11	14	-6	-5

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Quadratic twists for elliptic curve 9086g1

-4	-3	-7	-11
72688d1	81774ba1	63602q1	99946c1

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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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