Atkin-Lehner |
2- 3- 5- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990ck |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
198626896697688000 = 26 · 36 · 53 · 177 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-851702,301989701] |
[a1,a2,a3,a4,a6] |
Generators |
[-8322:66887:8] [-509:24819:1] |
Generators of the group modulo torsion |
j |
93725703087867323929/272464878872000 |
j-invariant |
L |
17.480966158884 |
L(r)(E,1)/r! |
Ω |
0.31886338215025 |
Real period |
R |
0.21755057880026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110a1 |
Quadratic twists by: -3 |