Cremona's table of elliptic curves

141 = 3 · 47

Field	Data	Notes
Atkin-Lehner	3- 47+	Signs for the Atkin-Lehner involutions
Class	141c	Isogeny class
Conductor	141	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	141 = 3 · 47	Discriminant
Eigenvalues	-1 3-  2  0  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-752,7875]	[a1,a2,a3,a4,a6]
j	47034153084673/141	j-invariant
L	0.96247796912061	L(r)(E,1)/r!
Ω	3.8499118764824	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	2256j3 9024e4 423c3 3525g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 141c4

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
-1	-	2	0	4	-2	2	0	0	-6	-4	-10	-2	8	+	-2	-4	14	-8	16	2	8	-4	18	-14

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Quadratic twists for elliptic curve 141c4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-47
2256j3	9024e4	423c3	3525g4	6909d3	17061c3	23829k4	40749d4	50901b4	74589j4	118581b4	6627g3

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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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