Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852f |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-58004954380677744 = -1 · 24 · 32 · 114 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11- 2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5446,11584677] |
[a1,a2,a3,a4,a6] |
j |
1257728/4084839 |
j-invariant |
L |
4.4254189429138 |
L(r)(E,1)/r! |
Ω |
0.27658868713374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4092e1 |
Quadratic twists by: -31 |