Cremona's table of elliptic curves

9130 = 2 · 5 · 11 · 83

Field	Data	Notes
Atkin-Lehner	2+ 5- 11- 83+	Signs for the Atkin-Lehner involutions
Class	9130d	Isogeny class
Conductor	9130	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-5803761373020160 = -1 · 224 · 5 · 112 · 833	Discriminant
Eigenvalues	2+ -2 5- -4 11-  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,44542,-581292]	[a1,a2,a3,a4,a6]
Generators	[9806:343441:8]	Generators of the group modulo torsion
j	9773426893903753319/5803761373020160	j-invariant
L	1.8408346270037	L(r)(E,1)/r!
Ω	0.2493978203184	Real period
R	7.3811175440648	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	73040q3 82170br3 45650x3 100430bn3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9130d3

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	-	-4	-	2	0	-4	-6	6	-4	2	6	-4	0	6	0	-10	-4	6	2	8	+	-6	2

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Quadratic twists for elliptic curve 9130d3

-4	-3	5	-11
73040q3	82170br3	45650x3	100430bn3

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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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