Atkin-Lehner |
3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
126405d |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2472768 |
Modular degree for the optimal curve |
Δ |
-3.063643715917E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 -2 -6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,753690,86360291] |
[a1,a2,a3,a4,a6] |
j |
38637/25 |
j-invariant |
L |
1.5642968479962 |
L(r)(E,1)/r! |
Ω |
0.13035807637424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405h1 126405f1 |
Quadratic twists by: -3 53 |