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	9240r	Isogeny class
Conductor	9240	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	51455250000000000 = 210 · 35 · 512 · 7 · 112	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4396056,3549116700]	[a1,a2,a3,a4,a6]
Generators	[1574:22952:1]	Generators of the group modulo torsion
j	9175156963749600923236/50249267578125	j-invariant
L	3.528680714046	L(r)(E,1)/r!
Ω	0.31566589765489	Real period
R	5.5892650112998	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	18480s3 73920dr4 27720w4 46200bb4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240r4

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	-10	-2	-4	8	2	4	-10	4	8	-10	-8	12	-10	-2

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Quadratic twists for elliptic curve 9240r4

-4	8	-3	5	-7	-11
18480s3	73920dr4	27720w4	46200bb4	64680df4	101640d4

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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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