Atkin-Lehner |
3+ 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325d |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1228032 |
Modular degree for the optimal curve |
Δ |
-154509204955078125 = -1 · 313 · 59 · 292 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 -6 5 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,105475,-13514250] |
[a1,a2,a3,a4,a6] |
j |
8305118904758831/9888589117125 |
j-invariant |
L |
1.3939925217961 |
L(r)(E,1)/r! |
Ω |
0.17424892687408 |
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 |
25665j1 |
Quadratic twists by: 5 |