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	9120i	Isogeny class
Conductor	9120	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-406476411840 = -1 · 26 · 33 · 5 · 196	Discriminant
Eigenvalues	2+ 3- 5+ -2  2  0  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2106,47520]	[a1,a2,a3,a4,a6]
Generators	[21:114:1]	Generators of the group modulo torsion
j	-16148234224576/6351193935	j-invariant
L	4.7611118237723	L(r)(E,1)/r!
Ω	0.88890804163271	Real period
R	0.59512615488541	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	9120l1 18240r2 27360bh1 45600be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9120i1

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	0	2	-	0	-8	-8	-4	8	10	-8	2	-12	2	0	0	-2	16	-4	0	-8

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Quadratic twists for elliptic curve 9120i1

-4	8	-3	5
9120l1	18240r2	27360bh1	45600be1

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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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