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	9240y	Isogeny class
Conductor	9240	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	192099600000000 = 210 · 34 · 58 · 72 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-128360,-17645508]	[a1,a2,a3,a4,a6]
Generators	[689:14850:1]	Generators of the group modulo torsion
j	228410605013945764/187597265625	j-invariant
L	4.2086680776668	L(r)(E,1)/r!
Ω	0.25223959378336	Real period
R	2.0856500037032	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	18480z4 73920co4 27720h4 46200bh4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240y3

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	-10	-6	-4	0	-2	-12	14	12	0	-6	-16	-4	-14	2

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Quadratic twists for elliptic curve 9240y3

-4	8	-3	5	-7	-11
18480z4	73920co4	27720h4	46200bh4	64680cu4	101640j4

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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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