Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bv |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
127457925156250000 = 24 · 510 · 138 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 5 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128158,-4056313] |
[a1,a2,a3,a4,a6] |
j |
1141504/625 |
j-invariant |
L |
3.2348991571809 |
L(r)(E,1)/r! |
Ω |
0.26957492927492 |
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 |
16900e1 13520p1 67600bw1 |
Quadratic twists by: -4 5 13 |