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	22080co	Isogeny class
Conductor	22080	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	153600	Modular degree for the optimal curve
Δ	-36784598169600000 = -1 · 214 · 310 · 55 · 233	Discriminant
Eigenvalues	2- 3- 5+  3 -4  0  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,30459,-8987805]	[a1,a2,a3,a4,a6]
Generators	[174:1269:1]	Generators of the group modulo torsion
j	190737654201344/2245153696875	j-invariant
L	6.3315098145688	L(r)(E,1)/r!
Ω	0.17975952786648	Real period
R	3.5222109724674	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	22080k1 5520c1 66240ga1 110400gs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080co1

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
-	-	+	3	-4	0	3	-4	+	-1	-1	-1	3	-12	10	9	-9	10	1	-5	0	-4	-9	-8	-10

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Quadratic twists for elliptic curve 22080co1

-4	8	-3	5
22080k1	5520c1	66240ga1	110400gs1

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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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