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	9120o	Isogeny class
Conductor	9120	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1122854400 = 29 · 35 · 52 · 192	Discriminant
Eigenvalues	2- 3+ 5-  2 -4  6  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2560,50692]	[a1,a2,a3,a4,a6]
Generators	[24:50:1]	Generators of the group modulo torsion
j	3625294417928/2193075	j-invariant
L	4.2707166954502	L(r)(E,1)/r!
Ω	1.5294465980892	Real period
R	1.3961640441666	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	9120k2 18240bi2 27360h2 45600p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120o2

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

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Quadratic twists for elliptic curve 9120o2

-4	8	-3	5
9120k2	18240bi2	27360h2	45600p2

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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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