Cremona's table of elliptic curves

141 = 3 · 47

Field	Data	Notes
Atkin-Lehner	3+ 47+	Signs for the Atkin-Lehner involutions
Class	141d	Isogeny class
Conductor	141	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	4	Modular degree for the optimal curve
Δ	141 = 3 · 47	Discriminant
Eigenvalues	0 3+ -1 -3 -3 -4  8 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-1,0]	[a1,a2,a3,a4,a6]
Generators	[0:0:1]	Generators of the group modulo torsion
j	262144/141	j-invariant
L	0.93878878533001	L(r)(E,1)/r!
Ω	4.7295280333068	Real period
R	0.19849523646308	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	2256o1 9024m1 423a1 3525m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 141d1

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	-3	-3	-4	8	-6	3	-1	4	1	-10	-8	+	10	-10	2	4	-6	-8	-3	-18	-2	5

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Quadratic twists for elliptic curve 141d1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-47
2256o1	9024m1	423a1	3525m1	6909l1	17061a1	23829e1	40749j1	50901h1	74589a1	118581e1	6627a1

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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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