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	-472656250000000000 = -1 · 210 · 518 · 112	Discriminant
Eigenvalues	2-  0 5+ -4 11+ -6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-65675,33705750]	[a1,a2,a3,a4,a6]
j	-1957960715364/29541015625	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	4400c4 17600m4 19800o4 440c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2200f4

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 2200f4

-4	8	-3	5	-7	-11
4400c4	17600m4	19800o4	440c4	107800bn3	24200g3

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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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