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	9240s	Isogeny class
Conductor	9240	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-17748192000 = -1 · 28 · 3 · 53 · 75 · 11	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+ -4  1  3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,639,1365]	[a1,a2,a3,a4,a6]
Generators	[11:98:1]	Generators of the group modulo torsion
j	112539892736/69328875	j-invariant
L	3.3859810185917	L(r)(E,1)/r!
Ω	0.75859678047896	Real period
R	0.44634792892923	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18480v1 73920dv1 27720x1 46200bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240s1

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	1	3	-1	-3	-2	8	-2	-1	2	11	13	5	-14	-10	-16	-8	9	11	-11

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Quadratic twists for elliptic curve 9240s1

-4	8	-3	5	-7	-11
18480v1	73920dv1	27720x1	46200bd1	64680dh1	101640e1

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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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