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	256	Product of Tamagawa factors cp
Δ	1856890552320000 = 217 · 34 · 54 · 234	Discriminant
Eigenvalues	2- 3- 5-  0  0  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8640705,9773360703]	[a1,a2,a3,a4,a6]
Generators	[1701:300:1]	Generators of the group modulo torsion
j	544328872410114151778/14166950625	j-invariant
L	6.9093424318387	L(r)(E,1)/r!
Ω	0.34156385861892	Real period
R	1.2642845286266	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	22080m4 5520a4 66240ee4 110400fi4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080cz4

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 22080cz4

-4	8	-3	5
22080m4	5520a4	66240ee4	110400fi4

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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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