Atkin-Lehner |
2- 3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53328t |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3924886192128 = -1 · 215 · 34 · 114 · 101 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11+ 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8624,-325548] |
[a1,a2,a3,a4,a6] |
Generators |
[124:726:1] |
Generators of the group modulo torsion |
j |
-17319700013617/958224168 |
j-invariant |
L |
5.0154102320604 |
L(r)(E,1)/r! |
Ω |
0.24691331105613 |
Real period |
R |
1.2695270990386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6666f1 |
Quadratic twists by: -4 |