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	9240z	Isogeny class
Conductor	9240	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	1245090000 = 24 · 3 · 54 · 73 · 112	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-41511,-3269190]	[a1,a2,a3,a4,a6]
Generators	[23889:690175:27]	Generators of the group modulo torsion
j	494428821070157824/77818125	j-invariant
L	4.7840707606439	L(r)(E,1)/r!
Ω	0.33447055284389	Real period
R	7.1517069589035	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	18480f1 73920be1 27720q1 46200h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240z1

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

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Quadratic twists for elliptic curve 9240z1

-4	8	-3	5	-7	-11
18480f1	73920be1	27720q1	46200h1	64680br1	101640bb1

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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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