Cremona's table of elliptic curves

2244 = 2² · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 17+	Signs for the Atkin-Lehner involutions
Class	2244a	Isogeny class
Conductor	2244	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	16128	Modular degree for the optimal curve
Δ	-1258354422749952 = -1 · 28 · 32 · 113 · 177	Discriminant
Eigenvalues	2- 3+  2 -5 11+  6 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2277,-1706463]	[a1,a2,a3,a4,a6]
j	-5102271397888/4915446963867	j-invariant
L	1.3111836551475	L(r)(E,1)/r!
Ω	0.21853060919125	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	8976be1 35904bl1 6732c1 56100w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2244a1

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	-5	+	6	+	-2	6	-7	0	8	-7	-4	7	7	9	14	-3	0	-1	16	-12	7	12

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Quadratic twists for elliptic curve 2244a1

-4	8	-3	5	-7	-11	17
8976be1	35904bl1	6732c1	56100w1	109956bc1	24684f1	38148o1

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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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