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	16	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-207900000000 = -1 · 28 · 33 · 58 · 7 · 11	Discriminant
Eigenvalues	2+ 3+ 5- 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-140,-21900]	[a1,a2,a3,a4,a6]
j	-1193895376/812109375	j-invariant
L	1.8023751628022	L(r)(E,1)/r!
Ω	0.45059379070054	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480x1 73920cq1 27720bi1 46200cr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240i1

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 9240i1

-4	8	-3	5	-7	-11
18480x1	73920cq1	27720bi1	46200cr1	64680x1	101640by1

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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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