Atkin-Lehner |
2+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
142b |
Isogeny class |
Conductor |
142 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4 |
Modular degree for the optimal curve |
Δ |
142 = 2 · 71 |
Discriminant |
Eigenvalues |
2+ -1 -2 -1 -2 -3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] |
Generators of the group modulo torsion |
j |
389017/142 |
j-invariant |
L |
0.80153345214125 |
L(r)(E,1)/r! |
Ω |
4.4304737754812 |
Real period |
R |
0.18091371098437 |
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 |
1136e1 4544b1 1278j1 3550j1 |
Quadratic twists by: -4 8 -3 5 |