Cremona's table of elliptic curves

9120 = 2⁵ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19-	Signs for the Atkin-Lehner involutions
Class	9120r	Isogeny class
Conductor	9120	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	10965375000000000 = 29 · 35 · 512 · 192	Discriminant
Eigenvalues	2- 3- 5-  0  0 -6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-940920,-351576900]	[a1,a2,a3,a4,a6]
Generators	[1935:71250:1]	Generators of the group modulo torsion
j	179933617934808776648/21416748046875	j-invariant
L	5.4229947524405	L(r)(E,1)/r!
Ω	0.15329021841009	Real period
R	1.1792434874378	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	9120d3 18240a3 27360j4 45600f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120r2

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	-	0	-2	4	2	-6	-4	0	6	0	14	-4	8	-14	-12	-12	-6	10

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Quadratic twists for elliptic curve 9120r2

-4	8	-3	5
9120d3	18240a3	27360j4	45600f4

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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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