Atkin-Lehner |
2+ 3+ 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
125904a |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-1039463424 = -1 · 210 · 32 · 432 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 1 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1384,-19424] |
[a1,a2,a3,a4,a6] |
Generators |
[45:86:1] |
Generators of the group modulo torsion |
j |
-286513958308/1015101 |
j-invariant |
L |
7.2352494035935 |
L(r)(E,1)/r! |
Ω |
0.39126164415235 |
Real period |
R |
2.3115124721384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62952a1 |
Quadratic twists by: -4 |