Atkin-Lehner |
5+ 13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127075i |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
586800 |
Modular degree for the optimal curve |
Δ |
-6009774367675 = -1 · 52 · 133 · 17 · 235 |
Discriminant |
Eigenvalues |
0 2 5+ 0 0 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-457373,-118904447] |
[a1,a2,a3,a4,a6] |
Generators |
[5825421839380514262:93644970729309962605:6418056983900472] |
Generators of the group modulo torsion |
j |
-423249275373507051520/240390974707 |
j-invariant |
L |
8.1851398786871 |
L(r)(E,1)/r! |
Ω |
0.091791366283445 |
Real period |
R |
29.723710083335 |
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 |
127075j1 |
Quadratic twists by: 5 |