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	8	Product of Tamagawa factors cp
Δ	-1080011613542400 = -1 · 211 · 35 · 52 · 72 · 116	Discriminant
Eigenvalues	2+ 3+ 5- 7+ 11+ -4 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5160,1589292]	[a1,a2,a3,a4,a6]
j	-7420395059282/527349420675	j-invariant
L	0.80973971248753	L(r)(E,1)/r!
Ω	0.40486985624377	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	18480bj2 73920ck2 27720bf2 46200cx2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240f2

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 9240f2

-4	8	-3	5	-7	-11
18480bj2	73920ck2	27720bf2	46200cx2	64680s2	101640cg2

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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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