Atkin-Lehner |
2+ 3- 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934i |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
88510464 |
Modular degree for the optimal curve |
Δ |
-4.1824498740642E+27 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4137923754,-102498533895564] |
[a1,a2,a3,a4,a6] |
Generators |
[105876310:25368243591:1000] |
Generators of the group modulo torsion |
j |
-10748395438529140294639078020769/5737242625602477531070464 |
j-invariant |
L |
5.5792564361053 |
L(r)(E,1)/r! |
Ω |
0.0094115257265069 |
Real period |
R |
10.585911470956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42978r1 |
Quadratic twists by: -3 |