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	9240l	Isogeny class
Conductor	9240	Conductor
∏ cp	88	Product of Tamagawa factors cp
Δ	-1.31288070375E+22	Discriminant
Eigenvalues	2+ 3- 5+ 7+ 11+ -4  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,5553064,2242898160]	[a1,a2,a3,a4,a6]
j	9246805402538461809742/6410550311279296875	j-invariant
L	1.7519026805339	L(r)(E,1)/r!
Ω	0.07963194002427	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480j2 73920bi2 27720bo2 46200bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240l2

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

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Quadratic twists for elliptic curve 9240l2

-4	8	-3	5	-7	-11
18480j2	73920bi2	27720bo2	46200bz2	64680j2	101640cn2

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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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