Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fo |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
4997610053087652 = 22 · 39 · 79 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1109345,449990349] |
[a1,a2,a3,a4,a6] |
Generators |
[-7586:207531:8] |
Generators of the group modulo torsion |
j |
1760384222493625/58270212 |
j-invariant |
L |
9.908735517237 |
L(r)(E,1)/r! |
Ω |
0.40325515470093 |
Real period |
R |
3.0714844221637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042j1 18018br1 |
Quadratic twists by: -3 -7 |