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	2200c	Isogeny class
Conductor	2200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	242000 = 24 · 53 · 112	Discriminant
Eigenvalues	2+  2 5- -2 11+  0  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-203,-1048]	[a1,a2,a3,a4,a6]
j	464857088/121	j-invariant
L	2.5286236123258	L(r)(E,1)/r!
Ω	1.2643118061629	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	4400k1 17600bi1 19800bu1 2200j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2200c1

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 2200c1

-4	8	-3	5	-7	-11
4400k1	17600bi1	19800bu1	2200j1	107800be1	24200bc1

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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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