Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124d |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-92603574668829952 = -1 · 28 · 78 · 137 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96612,-8954828] |
[a1,a2,a3,a4,a6] |
j |
14000/13 |
j-invariant |
L |
0.74135816391861 |
L(r)(E,1)/r! |
Ω |
0.18533954097913 |
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 |
33124o1 2548d1 |
Quadratic twists by: -7 13 |