Atkin-Lehner |
3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126405x |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-28760803245 = -1 · 36 · 5 · 534 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 -4 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-527,9524] |
[a1,a2,a3,a4,a6] |
j |
-2809/5 |
j-invariant |
L |
1.0548807615168 |
L(r)(E,1)/r! |
Ω |
1.0548790899157 |
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 |
14045b1 126405o1 |
Quadratic twists by: -3 53 |