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	9120n	Isogeny class
Conductor	9120	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	319127040 = 29 · 38 · 5 · 19	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1040,-12540]	[a1,a2,a3,a4,a6]
Generators	[1306:16281:8]	Generators of the group modulo torsion
j	243204324488/623295	j-invariant
L	3.6913646648483	L(r)(E,1)/r!
Ω	0.84076246839477	Real period
R	4.3904964881413	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	9120j3 18240bg3 27360g4 45600l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120n2

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

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Quadratic twists for elliptic curve 9120n2

-4	8	-3	5
9120j3	18240bg3	27360g4	45600l4

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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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