Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385a |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
39962694005 = 5 · 134 · 234 |
Discriminant |
Eigenvalues |
0 0 5+ 2 1 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32798,-2286206] |
[a1,a2,a3,a4,a6] |
j |
13942943023104/142805 |
j-invariant |
L |
2.1285763453167 |
L(r)(E,1)/r! |
Ω |
0.35476272421969 |
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 |
34385g1 |
Quadratic twists by: -23 |