Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bo |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
5098317006250000 = 24 · 58 · 138 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128158,-17364437] |
[a1,a2,a3,a4,a6] |
j |
1141504/25 |
j-invariant |
L |
1.0106519210269 |
L(r)(E,1)/r! |
Ω |
0.25266297753309 |
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 |
16900f1 13520q1 67600bl1 |
Quadratic twists by: -4 5 13 |