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	9240m	Isogeny class
Conductor	9240	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-1753086720 = -1 · 28 · 3 · 5 · 73 · 113	Discriminant
Eigenvalues	2+ 3- 5+ 7+ 11+  6 -5 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-441,-4245]	[a1,a2,a3,a4,a6]
j	-37135043584/6847995	j-invariant
L	2.0625848830947	L(r)(E,1)/r!
Ω	0.51564622077366	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18480k1 73920bl1 27720bp1 46200cb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240m1

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
+	-	+	+	+	6	-5	-5	1	3	0	-6	4	11	-4	1	15	-15	-10	12	4	-2	15	-7	5

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Quadratic twists for elliptic curve 9240m1

-4	8	-3	5	-7	-11
18480k1	73920bl1	27720bp1	46200cb1	64680l1	101640cp1

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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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