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	9240bj	Isogeny class
Conductor	9240	Conductor
∏ cp	1024	Product of Tamagawa factors cp
Δ	304977324960000 = 28 · 38 · 54 · 74 · 112	Discriminant
Eigenvalues	2- 3- 5- 7- 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-30500,1860000]	[a1,a2,a3,a4,a6]
Generators	[-170:1470:1]	Generators of the group modulo torsion
j	12257375872392016/1191317675625	j-invariant
L	5.5891973051695	L(r)(E,1)/r!
Ω	0.53005157862795	Real period
R	0.65903931930045	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	18480m2 73920o2 27720k2 46200a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240bj2

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	0	6	0	-10	2	4	0	6	-4	-2	-4	-16	2	0	12	-6	2

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Quadratic twists for elliptic curve 9240bj2

-4	8	-3	5	-7	-11
18480m2	73920o2	27720k2	46200a2	64680bh2	101640bg2

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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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