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	22080f	Isogeny class
Conductor	22080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-109143900241920 = -1 · 214 · 32 · 5 · 236	Discriminant
Eigenvalues	2+ 3+ 5+ -4  0 -2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-48561,-4133295]	[a1,a2,a3,a4,a6]
Generators	[549:11592:1]	Generators of the group modulo torsion
j	-772993034343376/6661615005	j-invariant
L	2.9448739210942	L(r)(E,1)/r!
Ω	0.16072134560386	Real period
R	4.5807137658501	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	22080cs4 1380d4 66240dg4 110400ei4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080f4

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	0	-2	6	-2	+	-6	-4	-8	6	-8	12	6	6	10	-8	-6	2	-10	12	6	8

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Quadratic twists for elliptic curve 22080f4

-4	8	-3	5
22080cs4	1380d4	66240dg4	110400ei4

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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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