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	9240y	Isogeny class
Conductor	9240	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-216562500000000000 = -1 · 211 · 32 · 516 · 7 · 11	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-100640,-25506900]	[a1,a2,a3,a4,a6]
Generators	[14490:605625:8]	Generators of the group modulo torsion
j	-55043996611705922/105743408203125	j-invariant
L	4.2086680776668	L(r)(E,1)/r!
Ω	0.12611979689168	Real period
R	4.1713000074063	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	18480z6 73920co5 27720h5 46200bh5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240y6

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
-	+	-	-	-	-2	2	4	0	-2	-8	-10	-6	-4	0	-2	-12	14	12	0	-6	-16	-4	-14	2

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Quadratic twists for elliptic curve 9240y6

-4	8	-3	5	-7	-11
18480z6	73920co5	27720h5	46200bh5	64680cu5	101640j5

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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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