Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158u |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
408 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
8.6332008557611E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12531641,-17013219879] |
[a1,a2,a3,a4,a6] |
Generators |
[18791:2516940:1] |
Generators of the group modulo torsion |
j |
298552000881189161456713/1184252517937053696 |
j-invariant |
L |
5.5766170717135 |
L(r)(E,1)/r! |
Ω |
0.08026037663916 |
Real period |
R |
0.68119187423141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264bq1 4386b1 |
Quadratic twists by: -4 -3 |