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	22080n	Isogeny class
Conductor	22080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-412642344960 = -1 · 215 · 32 · 5 · 234	Discriminant
Eigenvalues	2+ 3+ 5-  0  4  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1215,25857]	[a1,a2,a3,a4,a6]
j	6048464248/12592845	j-invariant
L	2.6178767670456	L(r)(E,1)/r!
Ω	0.6544691917614	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	22080bn3 11040l4 66240bu3 110400dp3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080n3

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
+	+	-	0	4	6	6	-4	+	-6	-4	6	10	-8	-8	-10	-4	14	8	12	2	8	8	-6	14

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Quadratic twists for elliptic curve 22080n3

-4	8	-3	5
22080bn3	11040l4	66240bu3	110400dp3

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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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