Atkin-Lehner |
2+ 3- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710i |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-13178953125000 = -1 · 23 · 36 · 59 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -4 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19529,-1066444] |
[a1,a2,a3,a4,a6] |
j |
-823629247481814409/13178953125000 |
j-invariant |
L |
1.2104327937843 |
L(r)(E,1)/r! |
Ω |
0.20173879896504 |
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 |
104130bx1 |
Quadratic twists by: -3 |