Atkin-Lehner |
2- 3- 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127908d |
Isogeny class |
Conductor |
127908 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-4.6588965583719E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15182247,-25025823682] |
[a1,a2,a3,a4,a6] |
j |
-2073788092889845915984/249640804953913329 |
j-invariant |
L |
3.1907508078881 |
L(r)(E,1)/r! |
Ω |
0.037985131288293 |
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 |
42636b1 |
Quadratic twists by: -3 |