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	480	Product of Tamagawa factors cp
Δ	-644469334405632000 = -1 · 212 · 320 · 53 · 192	Discriminant
Eigenvalues	2- 3- 5-  0  0 -6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,161935,-29318337]	[a1,a2,a3,a4,a6]
Generators	[211:3780:1]	Generators of the group modulo torsion
j	114652428754998464/157341146095125	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	4	Number of elements in the torsion subgroup
Twists	9120d4 18240a1 27360j2 45600f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120r4

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 9120r4

-4	8	-3	5
9120d4	18240a1	27360j2	45600f2

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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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