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	2	Product of Tamagawa factors cp
Δ	14639043 = 3 · 474	Discriminant
Eigenvalues	-1 3-  2  0  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-62,33]	[a1,a2,a3,a4,a6]
j	26383748833/14639043	j-invariant
L	0.96247796912061	L(r)(E,1)/r!
Ω	1.9249559382412	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	2256j4 9024e3 423c4 3525g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 141c3

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 141c3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-47
2256j4	9024e3	423c4	3525g3	6909d4	17061c4	23829k3	40749d3	50901b3	74589j3	118581b3	6627g4

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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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