Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126405w |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18316800 |
Modular degree for the optimal curve |
Δ |
4.3082489755083E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 1 -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42346202,-35722689546] |
[a1,a2,a3,a4,a6] |
j |
185025936889/94921875 |
j-invariant |
L |
1.0006115190018 |
L(r)(E,1)/r! |
Ω |
0.062538246560283 |
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 |
42135c1 126405n1 |
Quadratic twists by: -3 53 |