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	22080q	Isogeny class
Conductor	22080	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5501897932800 = 218 · 3 · 52 · 234	Discriminant
Eigenvalues	2+ 3+ 5-  4  4  2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-26305,-1629503]	[a1,a2,a3,a4,a6]
j	7679186557489/20988075	j-invariant
L	2.9995073562116	L(r)(E,1)/r!
Ω	0.37493841952645	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22080dd4 345d3 66240ce4 110400ek4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080q4

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
+	+	-	4	4	2	6	-8	+	-6	8	-6	-6	8	-8	-2	4	10	-8	0	-6	-4	12	6	-14

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Quadratic twists for elliptic curve 22080q4

-4	8	-3	5
22080dd4	345d3	66240ce4	110400ek4

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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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