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	22080da	Isogeny class
Conductor	22080	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-224262144000 = -1 · 214 · 32 · 53 · 233	Discriminant
Eigenvalues	2- 3- 5-  1  0  4 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5525,157875]	[a1,a2,a3,a4,a6]
Generators	[70:345:1]	Generators of the group modulo torsion
j	-1138621087744/13687875	j-invariant
L	7.3793989441092	L(r)(E,1)/r!
Ω	0.99849045545389	Real period
R	0.41058640647667	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22080o2 5520o2 66240ek2 110400fn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080da2

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
-	-	-	1	0	4	-3	-4	-	3	7	-11	-9	-4	-6	-9	3	10	-13	-9	-16	-8	-15	0	2

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Quadratic twists for elliptic curve 22080da2

-4	8	-3	5
22080o2	5520o2	66240ek2	110400fn2

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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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