Atkin-Lehner |
3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51675t |
Isogeny class |
Conductor |
51675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
4591162265625 = 38 · 57 · 132 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22651,-1309927] |
[a1,a2,a3,a4,a6] |
j |
82250446539169/293834385 |
j-invariant |
L |
6.2279237920158 |
L(r)(E,1)/r! |
Ω |
0.38924523701458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10335a1 |
Quadratic twists by: 5 |