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	9120g	Isogeny class
Conductor	9120	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-346560 = -1 · 26 · 3 · 5 · 192	Discriminant
Eigenvalues	2+ 3- 5+  2  2 -4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,14,-16]	[a1,a2,a3,a4,a6]
Generators	[26:69:8]	Generators of the group modulo torsion
j	4410944/5415	j-invariant
L	5.2100382988229	L(r)(E,1)/r!
Ω	1.6257082647764	Real period
R	3.2047805942228	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	9120m1 18240o2 27360bf1 45600bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120g1

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

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Quadratic twists for elliptic curve 9120g1

-4	8	-3	5
9120m1	18240o2	27360bf1	45600bg1

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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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