Atkin-Lehner |
2- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
117242f |
Isogeny class |
Conductor |
117242 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
54982746256 = 24 · 314 · 612 |
Discriminant |
Eigenvalues |
2- 1 -1 -5 -3 -5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-981,-3631] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:65:1] |
Generators of the group modulo torsion |
j |
113060689/59536 |
j-invariant |
L |
6.5142625976227 |
L(r)(E,1)/r! |
Ω |
0.90482210341991 |
Real period |
R |
0.89993693774448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998986544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117242j1 |
Quadratic twists by: -31 |