Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
142a |
Isogeny class |
Conductor |
142 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
36 |
Modular degree for the optimal curve |
Δ |
36352 = 29 · 71 |
Discriminant |
Eigenvalues |
2- -3 -4 -3 0 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12,15] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
176558481/36352 |
j-invariant |
L |
1.0535114537183 |
L(r)(E,1)/r! |
Ω |
3.4643325947857 |
Real period |
R |
0.033789142638067 |
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 |
1136c1 4544i1 1278d1 3550g1 |
Quadratic twists by: -4 8 -3 5 |