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	9120p	Isogeny class
Conductor	9120	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	124761600 = 29 · 33 · 52 · 192	Discriminant
Eigenvalues	2- 3- 5+ -2  0 -2 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-256,1400]	[a1,a2,a3,a4,a6]
Generators	[2:30:1]	Generators of the group modulo torsion
j	3638052872/243675	j-invariant
L	4.5064255057007	L(r)(E,1)/r!
Ω	1.8228720300997	Real period
R	0.41202613524971	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	9120c2 18240v2 27360m2 45600b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120p2

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

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Quadratic twists for elliptic curve 9120p2

-4	8	-3	5
9120c2	18240v2	27360m2	45600b2

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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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