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	9240f	Isogeny class
Conductor	9240	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	19200	Modular degree for the optimal curve
Δ	2816816808960 = 210 · 310 · 5 · 7 · 113	Discriminant
Eigenvalues	2+ 3+ 5- 7+ 11+ -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14880,698940]	[a1,a2,a3,a4,a6]
j	355845710666884/2750797665	j-invariant
L	0.80973971248753	L(r)(E,1)/r!
Ω	0.80973971248753	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	18480bj1 73920ck1 27720bf1 46200cx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240f1

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
+	+	-	+	+	-4	-4	0	-6	-6	-8	-8	-2	4	12	2	4	6	6	0	-2	12	4	4	-14

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Quadratic twists for elliptic curve 9240f1

-4	8	-3	5	-7	-11
18480bj1	73920ck1	27720bf1	46200cx1	64680s1	101640cg1

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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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