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
Δ	325444692101760000 = 210 · 36 · 54 · 78 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1901800,-1009735552]	[a1,a2,a3,a4,a6]
Generators	[-808:240:1]	Generators of the group modulo torsion
j	742879737792994384804/317817082130625	j-invariant
L	5.4703767990903	L(r)(E,1)/r!
Ω	0.12856402951536	Real period
R	3.5458186475328	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	18480o3 73920b4 27720c4 46200m4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240bh3

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 9240bh3

-4	8	-3	5	-7	-11
18480o3	73920b4	27720c4	46200m4	64680bl4	101640bl4

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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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