Atkin-Lehner |
2- 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782bb |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1107823951872 = -1 · 218 · 36 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,918,49572] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:198:1] |
Generators of the group modulo torsion |
j |
85550428158047/1107823951872 |
j-invariant |
L |
11.878326252838 |
L(r)(E,1)/r! |
Ω |
0.64408377411903 |
Real period |
R |
0.17076117542556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346y1 |
Quadratic twists by: -3 |