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	12	Product of Tamagawa factors cp
Δ	-5.0535323541358E+20	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1604800,-1335485152]	[a1,a2,a3,a4,a6]
Generators	[1667:24990:1]	Generators of the group modulo torsion
j	-223180773010681046402/246754509479287425	j-invariant
L	5.4703767990903	L(r)(E,1)/r!
Ω	0.064282014757681	Real period
R	7.0916372950656	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480o6 73920b5 27720c5 46200m5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240bh6

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 9240bh6

-4	8	-3	5	-7	-11
18480o6	73920b5	27720c5	46200m5	64680bl5	101640bl5

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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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