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	22080cd	Isogeny class
Conductor	22080	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	610467840 = 216 · 34 · 5 · 23	Discriminant
Eigenvalues	2- 3+ 5- -4  4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9825,-371583]	[a1,a2,a3,a4,a6]
Generators	[267:3996:1]	Generators of the group modulo torsion
j	1600610497636/9315	j-invariant
L	3.8253392275183	L(r)(E,1)/r!
Ω	0.47952679869808	Real period
R	3.9886605273199	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	22080br4 5520e3 66240ff4 110400iq4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080cd4

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

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Quadratic twists for elliptic curve 22080cd4

-4	8	-3	5
22080br4	5520e3	66240ff4	110400iq4

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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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