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	9240h	Isogeny class
Conductor	9240	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	152127360000 = 210 · 32 · 54 · 74 · 11	Discriminant
Eigenvalues	2+ 3+ 5- 7+ 11-  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2520,-44100]	[a1,a2,a3,a4,a6]
Generators	[-30:60:1]	Generators of the group modulo torsion
j	1729010797924/148561875	j-invariant
L	3.963139147989	L(r)(E,1)/r!
Ω	0.67749614157759	Real period
R	0.73121064917812	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480bg4 73920cf3 27720bc3 46200cz3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240h3

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	-6	-4	-4	6	-4	6	-2	-4	0	14	0	-6	-8	-8	-14	0	4	-14	-14

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Quadratic twists for elliptic curve 9240h3

-4	8	-3	5	-7	-11
18480bg4	73920cf3	27720bc3	46200cz3	64680ba3	101640ch3

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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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