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	9240be	Isogeny class
Conductor	9240	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	57047760 = 24 · 33 · 5 · 74 · 11	Discriminant
Eigenvalues	2- 3- 5+ 7- 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-511,-4606]	[a1,a2,a3,a4,a6]
Generators	[-13:3:1]	Generators of the group modulo torsion
j	924093773824/3565485	j-invariant
L	5.146684352603	L(r)(E,1)/r!
Ω	1.0042094749782	Real period
R	0.85418505481884	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	18480a1 73920bm1 27720t1 46200c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240be1

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

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Quadratic twists for elliptic curve 9240be1

-4	8	-3	5	-7	-11
18480a1	73920bm1	27720t1	46200c1	64680cb1	101640s1

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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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