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	9120q	Isogeny class
Conductor	9120	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	129960000 = 26 · 32 · 54 · 192	Discriminant
Eigenvalues	2- 3- 5-  4  0 -6  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-170,600]	[a1,a2,a3,a4,a6]
j	8539701184/2030625	j-invariant
L	3.4797233443943	L(r)(E,1)/r!
Ω	1.7398616721971	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9120e1 18240j2 27360i1 45600d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120q1

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
-	-	-	4	0	-6	2	+	0	6	0	2	6	-4	0	6	-4	-10	4	-8	10	16	0	14	-6

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Quadratic twists for elliptic curve 9120q1

-4	8	-3	5
9120e1	18240j2	27360i1	45600d1

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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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