Cremona's table of elliptic curves

2200 = 2³ · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	2200f	Isogeny class
Conductor	2200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	428717762000000000 = 210 · 59 · 118	Discriminant
Eigenvalues	2-  0 5+ -4 11+ -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-188675,-1623250]	[a1,a2,a3,a4,a6]
j	46424454082884/26794860125	j-invariant
L	0.99982338496162	L(r)(E,1)/r!
Ω	0.2499558462404	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	4400c3 17600m3 19800o3 440c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2200f3

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	-4	-2	8	10	10	0	-4	10	-4	-2	8	0	14	-16	8	-6	-2

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Quadratic twists for elliptic curve 2200f3

-4	8	-3	5	-7	-11
4400c3	17600m3	19800o3	440c3	107800bn4	24200g4

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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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