Cremona's table of elliptic curves

141 = 3 · 47

Field	Data	Notes
Atkin-Lehner	3+ 47-	Signs for the Atkin-Lehner involutions
Class	141b	Isogeny class
Conductor	141	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	59643 = 33 · 472	Discriminant
Eigenvalues	-1 3+  0  4  0  6 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-143,-718]	[a1,a2,a3,a4,a6]
j	323535264625/59643	j-invariant
L	0.69027880279175	L(r)(E,1)/r!
Ω	1.3805576055835	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	2256l2 9024s2 423b2 3525j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 141b2

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	+	0	4	0	6	-6	2	4	8	6	-6	-8	-6	-	2	12	2	-2	0	-10	-4	4	-10	-18

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Quadratic twists for elliptic curve 141b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-47
2256l2	9024s2	423b2	3525j2	6909i2	17061b2	23829b2	40749m2	50901k2	74589e2	118581d2	6627d2

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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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