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	2200j	Isogeny class
Conductor	2200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	3781250000 = 24 · 59 · 112	Discriminant
Eigenvalues	2- -2 5-  2 11+  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5083,-141162]	[a1,a2,a3,a4,a6]
Generators	[-41:1:1]	Generators of the group modulo torsion
j	464857088/121	j-invariant
L	2.333516598563	L(r)(E,1)/r!
Ω	0.56541742866716	Real period
R	2.0635343732362	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	4400j1 17600bg1 19800t1 2200c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2200j1

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

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Quadratic twists for elliptic curve 2200j1

-4	8	-3	5	-7	-11
4400j1	17600bg1	19800t1	2200c1	107800ci1	24200r1

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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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