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	22080cz	Isogeny class
Conductor	22080	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	88851686400000000 = 216 · 38 · 58 · 232	Discriminant
Eigenvalues	2- 3- 5-  0  0  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-540705,152180703]	[a1,a2,a3,a4,a6]
Generators	[-174:15525:1]	Generators of the group modulo torsion
j	266763091319403556/1355769140625	j-invariant
L	6.9093424318387	L(r)(E,1)/r!
Ω	0.34156385861892	Real period
R	0.63214226431332	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	22080m2 5520a2 66240ee2 110400fi2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080cz2

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	2	-6	0	-	-6	0	6	-6	0	8	6	-12	-10	0	0	-6	-8	0	10	-6

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Quadratic twists for elliptic curve 22080cz2

-4	8	-3	5
22080m2	5520a2	66240ee2	110400fi2

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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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