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	22080cr	Isogeny class
Conductor	22080	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5426380800 = 220 · 32 · 52 · 23	Discriminant
Eigenvalues	2- 3- 5+  0  4  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7065601,-7231248385]	[a1,a2,a3,a4,a6]
j	148809678420065817601/20700	j-invariant
L	2.9632087721197	L(r)(E,1)/r!
Ω	0.092600274128742	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22080d4 5520u3 66240fm4 110400fl4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080cr4

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	-6	4	-	2	0	2	10	-4	0	-6	-4	10	-12	8	10	8	-4	18	2

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Quadratic twists for elliptic curve 22080cr4

-4	8	-3	5
22080d4	5520u3	66240fm4	110400fl4

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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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