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	22080cx	Isogeny class
Conductor	22080	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	13101714269798400 = 224 · 310 · 52 · 232	Discriminant
Eigenvalues	2- 3- 5-  0 -4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-59105,-531297]	[a1,a2,a3,a4,a6]
j	87109155423289/49979073600	j-invariant
L	3.3241436090666	L(r)(E,1)/r!
Ω	0.33241436090666	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	22080u2 5520m2 66240ev2 110400gk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080cx2

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	6	-6	4	+	6	8	-6	10	4	8	14	0	-10	4	-8	2	12	-16	-2	-14

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Quadratic twists for elliptic curve 22080cx2

-4	8	-3	5
22080u2	5520m2	66240ev2	110400gk2

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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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