Atkin-Lehner |
2- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398j |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
1296000 |
Modular degree for the optimal curve |
Δ |
-420612286852366336 = -1 · 225 · 72 · 136 · 53 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ -3 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,122831,26409569] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:980:1] [23:5396:1] |
Generators of the group modulo torsion |
j |
42461064302103/87140859904 |
j-invariant |
L |
13.645514938711 |
L(r)(E,1)/r! |
Ω |
0.20647327412079 |
Real period |
R |
0.66088528886062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999983725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
742c1 |
Quadratic twists by: 13 |