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	9240bb	Isogeny class
Conductor	9240	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	12294374400 = 210 · 34 · 52 · 72 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1176,-14976]	[a1,a2,a3,a4,a6]
Generators	[-21:30:1]	Generators of the group modulo torsion
j	175798419556/12006225	j-invariant
L	4.7745388441397	L(r)(E,1)/r!
Ω	0.81870780104176	Real period
R	1.4579495999868	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	18480i2 73920bh2 27720s2 46200j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240bb2

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

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Quadratic twists for elliptic curve 9240bb2

-4	8	-3	5	-7	-11
18480i2	73920bh2	27720s2	46200j2	64680bu2	101640bd2

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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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