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	9130g	Isogeny class
Conductor	9130	Conductor
∏ cp	180	Product of Tamagawa factors cp
deg	54720	Modular degree for the optimal curve
Δ	-87603498188800 = -1 · 218 · 52 · 115 · 83	Discriminant
Eigenvalues	2- -2 5+ -3 11- -7 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,7504,375040]	[a1,a2,a3,a4,a6]
Generators	[448:-9904:1] [-14:524:1]	Generators of the group modulo torsion
j	46730300206447871/87603498188800	j-invariant
L	5.6216172141566	L(r)(E,1)/r!
Ω	0.41637860807071	Real period
R	0.075006751403552	Regulator
r	2	Rank of the group of rational points
S	0.99999999999992	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	73040j1 82170w1 45650e1 100430c1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9130g1

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	+	-3	-	-7	-2	-8	-6	-4	4	-5	-10	-6	8	-10	14	-12	-11	-15	13	4	-	-8	4

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Quadratic twists for elliptic curve 9130g1

-4	-3	5	-11
73040j1	82170w1	45650e1	100430c1

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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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