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	2200h	Isogeny class
Conductor	2200	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-44000000000 = -1 · 211 · 59 · 11	Discriminant
Eigenvalues	2- -3 5+ -1 11+  6 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1675,-28250]	[a1,a2,a3,a4,a6]
j	-16241202/1375	j-invariant
L	0.7426758511778	L(r)(E,1)/r!
Ω	0.3713379255889	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4400d1 17600t1 19800h1 440d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2200h1

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
-	-3	+	-1	+	6	-3	-5	2	-5	5	1	-2	-12	2	13	2	1	-16	15	-10	2	14	9	16

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Quadratic twists for elliptic curve 2200h1

-4	8	-3	5	-7	-11
4400d1	17600t1	19800h1	440d1	107800bv1	24200k1

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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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