Atkin-Lehner |
5+ 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127075c |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
-22952921875 = -1 · 56 · 13 · 173 · 23 |
Discriminant |
Eigenvalues |
2 2 5+ 2 0 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-458,-8057] |
[a1,a2,a3,a4,a6] |
j |
-681472000/1468987 |
j-invariant |
L |
8.7007991262547 |
L(r)(E,1)/r! |
Ω |
0.48337772283323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083e1 |
Quadratic twists by: 5 |