Atkin-Lehner |
2+ 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794z |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
19906560 |
Modular degree for the optimal curve |
Δ |
1.3599276375178E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -4 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-41617893,-103341893348] |
[a1,a2,a3,a4,a6] |
j |
169450306719111660241/2890641239172 |
j-invariant |
L |
1.0699225197198 |
L(r)(E,1)/r! |
Ω |
0.059440161142244 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726d1 |
Quadratic twists by: -19 |