Cremona's table of elliptic curves

22080 = 2⁶ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 23+	Signs for the Atkin-Lehner involutions
Class	22080bi	Isogeny class
Conductor	22080	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	19014559255756800 = 225 · 34 · 52 · 234	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-88474305,-320341968225]	[a1,a2,a3,a4,a6]
Generators	[5306175:486701160:343]	Generators of the group modulo torsion
j	292169767125103365085489/72534787200	j-invariant
L	6.6018436720606	L(r)(E,1)/r!
Ω	0.049226081266695	Real period
R	8.3820450234162	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	22080cg4 690g3 66240bs4 110400w4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080bi4

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
+	-	-	0	0	-6	2	0	+	-6	8	-10	-6	8	8	6	4	6	-8	-8	10	-8	8	-6	18

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Quadratic twists for elliptic curve 22080bi4

-4	8	-3	5
22080cg4	690g3	66240bs4	110400w4

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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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