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	22080cm	Isogeny class
Conductor	22080	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-118840995348480 = -1 · 220 · 34 · 5 · 234	Discriminant
Eigenvalues	2- 3- 5+  0  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,479,524639]	[a1,a2,a3,a4,a6]
Generators	[71:960:1]	Generators of the group modulo torsion
j	46268279/453342420	j-invariant
L	6.5480760712699	L(r)(E,1)/r!
Ω	0.46488646748657	Real period
R	1.7606653799455	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	22080h3 5520r4 66240fu3 110400gi3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080cm3

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

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Quadratic twists for elliptic curve 22080cm3

-4	8	-3	5
22080h3	5520r4	66240fu3	110400gi3

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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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