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	64	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	-837049105200 = -1 · 24 · 3 · 52 · 78 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,2225,-18248]	[a1,a2,a3,a4,a6]
Generators	[24:220:1]	Generators of the group modulo torsion
j	76102438406144/52315569075	j-invariant
L	4.2086680776668	L(r)(E,1)/r!
Ω	0.50447918756673	Real period
R	2.0856500037032	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480z1 73920co1 27720h1 46200bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240y1

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 9240y1

-4	8	-3	5	-7	-11
18480z1	73920co1	27720h1	46200bh1	64680cu1	101640j1

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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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