Atkin-Lehner |
2+ 3- 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934i |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.241360160798E+34 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19151004006,5262563021150916] |
[a1,a2,a3,a4,a6] |
Generators |
[-5609134562594036599047264547984280624597157548239010:43907316548390761770163233578125149722300456461022526939:615553296382800885247258264235615441569410829000] |
Generators of the group modulo torsion |
j |
1065542619208351347902742829533791/17028260093251190608019507801424 |
j-invariant |
L |
5.5792564361053 |
L(r)(E,1)/r! |
Ω |
0.0094115257265069 |
Real period |
R |
74.101381091587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978r2 |
Quadratic twists by: -3 |