Cremona's table of elliptic curves

143 = 11 · 13

Field	Data	Notes
Atkin-Lehner	11+ 13+	Signs for the Atkin-Lehner involutions
Class	143a	Isogeny class
Conductor	143	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	-1859 = -1 · 11 · 132	Discriminant
Eigenvalues	0 -1 -1 -2 11+ 13+ -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1,-2]	[a1,a2,a3,a4,a6]
Generators	[4:6:1]	Generators of the group modulo torsion
j	-262144/1859	j-invariant
L	0.94569641120026	L(r)(E,1)/r!
Ω	1.9699231645721	Real period
R	0.24003383182859	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2288i1 9152l1 1287d1 3575d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 143a1

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	-1	-1	-2	+	+	-4	2	7	-2	-3	-11	10	-4	-4	2	-1	-2	-1	-9	-16	8	0	-7	-13

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Quadratic twists for elliptic curve 143a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2288i1	9152l1	1287d1	3575d1	7007a1	1573b1	1859b1	41327j1	51623f1	75647b1	120263d1

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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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