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	16	Product of Tamagawa factors cp
Δ	-1774413527040 = -1 · 211 · 38 · 5 · 74 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1024,-62496]	[a1,a2,a3,a4,a6]
Generators	[67:558:1]	Generators of the group modulo torsion
j	57925453822/866412855	j-invariant
L	4.7745388441397	L(r)(E,1)/r!
Ω	0.40935390052088	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	18480i4 73920bh3 27720s3 46200j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240bb4

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 9240bb4

-4	8	-3	5	-7	-11
18480i4	73920bh3	27720s3	46200j3	64680bu3	101640bd3

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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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