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
deg	7168	Modular degree for the optimal curve
Δ	44160000 = 210 · 3 · 54 · 23	Discriminant
Eigenvalues	2- 3+ 5- -4  4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-125,477]	[a1,a2,a3,a4,a6]
Generators	[-11:20:1]	Generators of the group modulo torsion
j	212629504/43125	j-invariant
L	3.8253392275183	L(r)(E,1)/r!
Ω	1.9181071947923	Real period
R	0.99716513182998	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	22080br1 5520e1 66240ff1 110400iq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080cd1

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 22080cd1

-4	8	-3	5
22080br1	5520e1	66240ff1	110400iq1

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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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