Cremona's table of elliptic curves

141 = 3 · 47

Field	Data	Notes
Atkin-Lehner	3- 47-	Signs for the Atkin-Lehner involutions
Class	141a	Isogeny class
Conductor	141	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	28	Modular degree for the optimal curve
Δ	102789 = 37 · 47	Discriminant
Eigenvalues	-2 3- -3 -3 -5  2 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-12,2]	[a1,a2,a3,a4,a6]
Generators	[-3:4:1]	Generators of the group modulo torsion
j	207474688/102789	j-invariant
L	0.71855017249834	L(r)(E,1)/r!
Ω	2.9765040248146	Real period
R	0.034486775017552	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	2256h1 9024l1 423e1 3525d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 141a1

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
-2	-	-3	-3	-5	2	-6	-6	9	1	-2	1	6	2	-	0	-12	-2	2	-2	-2	-15	-4	10	1

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Quadratic twists for elliptic curve 141a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-47
2256h1	9024l1	423e1	3525d1	6909c1	17061e1	23829j1	40749h1	50901f1	74589l1	118581a1	6627i1

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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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