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	9240w	Isogeny class
Conductor	9240	Conductor
∏ cp	1024	Product of Tamagawa factors cp
Δ	5650081460100000000 = 28 · 34 · 58 · 78 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2004100,-1085338748]	[a1,a2,a3,a4,a6]
j	3477299736386222510416/22070630703515625	j-invariant
L	2.0309803912287	L(r)(E,1)/r!
Ω	0.1269362744518	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	18480bc2 73920da2 27720l2 46200bf2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240w2

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

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Quadratic twists for elliptic curve 9240w2

-4	8	-3	5	-7	-11
18480bc2	73920da2	27720l2	46200bf2	64680cr2	101640m2

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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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