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	9240n	Isogeny class
Conductor	9240	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	74511360 = 210 · 33 · 5 · 72 · 11	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11+ -6  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1552320,743906160]	[a1,a2,a3,a4,a6]
Generators	[723:186:1]	Generators of the group modulo torsion
j	403987375837267326724/72765	j-invariant
L	5.3378995176485	L(r)(E,1)/r!
Ω	0.78040025347989	Real period
R	2.2799836766865	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	18480q3 73920i4 27720bh4 46200ca4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240n4

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	2	8	0	-6	0	-10	-2	-4	8	-10	-4	-10	-4	0	14	-12	0	-14	18

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Quadratic twists for elliptic curve 9240n4

-4	8	-3	5	-7	-11
18480q3	73920i4	27720bh4	46200ca4	64680d4	101640cw4

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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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