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	9240o	Isogeny class
Conductor	9240	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	16734009600 = 28 · 32 · 52 · 74 · 112	Discriminant
Eigenvalues	2+ 3- 5- 7- 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1020,-11232]	[a1,a2,a3,a4,a6]
j	458891455696/65367225	j-invariant
L	3.4109454375097	L(r)(E,1)/r!
Ω	0.85273635937743	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480l2 73920p2 27720bl2 46200bs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240o2

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

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Quadratic twists for elliptic curve 9240o2

-4	8	-3	5	-7	-11
18480l2	73920p2	27720bl2	46200bs2	64680b2	101640ct2

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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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