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	8	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	887040 = 28 · 32 · 5 · 7 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1156,-15520]	[a1,a2,a3,a4,a6]
Generators	[44:144:1]	Generators of the group modulo torsion
j	667932971344/3465	j-invariant
L	4.7745388441397	L(r)(E,1)/r!
Ω	0.81870780104176	Real period
R	2.9158991999736	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480i1 73920bh1 27720s1 46200j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240bb1

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 9240bb1

-4	8	-3	5	-7	-11
18480i1	73920bh1	27720s1	46200j1	64680bu1	101640bd1

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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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