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	22080bz	Isogeny class
Conductor	22080	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	27648	Modular degree for the optimal curve
Δ	-74884055040 = -1 · 220 · 33 · 5 · 232	Discriminant
Eigenvalues	2- 3+ 5+ -4  2 -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-801,16065]	[a1,a2,a3,a4,a6]
Generators	[11:92:1]	Generators of the group modulo torsion
j	-217081801/285660	j-invariant
L	2.5563941123985	L(r)(E,1)/r!
Ω	0.98352941829098	Real period
R	1.2996022614355	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22080bb1 5520bg1 66240fr1 110400id1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080bz1

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

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Quadratic twists for elliptic curve 22080bz1

-4	8	-3	5
22080bb1	5520bg1	66240fr1	110400id1

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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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