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	9240i	Isogeny class
Conductor	9240	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	141678028800 = 211 · 33 · 52 · 7 · 114	Discriminant
Eigenvalues	2+ 3+ 5- 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-201640,-34783700]	[a1,a2,a3,a4,a6]
j	442716776803843922/69178725	j-invariant
L	1.8023751628022	L(r)(E,1)/r!
Ω	0.22529689535027	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480x4 73920cq4 27720bi4 46200cr4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240i3

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	2	-4	-2	2	8	0	-6	-4	2	12	12	-10	8	-8	10	10

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Quadratic twists for elliptic curve 9240i3

-4	8	-3	5	-7	-11
18480x4	73920cq4	27720bi4	46200cr4	64680x4	101640by4

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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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