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	240	Product of Tamagawa factors cp
Δ	264128372413632000 = 29 · 35 · 53 · 198	Discriminant
Eigenvalues	2- 3- 5-  0  0 -6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-367440,81963288]	[a1,a2,a3,a4,a6]
Generators	[426:1710:1]	Generators of the group modulo torsion
j	10715544157908977288/515875727370375	j-invariant
L	5.4229947524405	L(r)(E,1)/r!
Ω	0.30658043682018	Real period
R	0.29481087185945	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	9120d2 18240a4 27360j3 45600f3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120r3

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 9120r3

-4	8	-3	5
9120d2	18240a4	27360j3	45600f3

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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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