Cremona's table of elliptic curves

9240 = 2³ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	9240bh	Isogeny class
Conductor	9240	Conductor
∏ cp	192	Product of Tamagawa factors cp
deg	36864	Modular degree for the optimal curve
Δ	612569087056080 = 24 · 36 · 5 · 72 · 118	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-64415,6157458]	[a1,a2,a3,a4,a6]
Generators	[-113:3465:1]	Generators of the group modulo torsion
j	1847444944806639616/38285567941005	j-invariant
L	5.4703767990903	L(r)(E,1)/r!
Ω	0.51425611806144	Real period
R	0.8864546618832	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480o1 73920b1 27720c1 46200m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240bh1

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	0	-2	-8	-2	-6	4	8	-10	-4	-2	-12	8	-14	8	12	-6	-14

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Quadratic twists for elliptic curve 9240bh1

-4	8	-3	5	-7	-11
18480o1	73920b1	27720c1	46200m1	64680bl1	101640bl1

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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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