Atkin-Lehner |
2- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31552q |
Isogeny class |
Conductor |
31552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-8999030226944 = -1 · 230 · 172 · 29 |
Discriminant |
Eigenvalues |
2- -1 -1 2 1 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-666081,209459329] |
[a1,a2,a3,a4,a6] |
Generators |
[525:2048:1] |
Generators of the group modulo torsion |
j |
-124671038996895481/34328576 |
j-invariant |
L |
3.8177669540552 |
L(r)(E,1)/r! |
Ω |
0.58548589377434 |
Real period |
R |
0.81508516999531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31552e1 7888h1 |
Quadratic twists by: -4 8 |