Atkin-Lehner |
2- 3+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504w |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
-11037922992 = -1 · 24 · 32 · 314 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -4 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-933,-11772] |
[a1,a2,a3,a4,a6] |
Generators |
[1962:30411:8] |
Generators of the group modulo torsion |
j |
-5619712000000/689870187 |
j-invariant |
L |
3.2882870098347 |
L(r)(E,1)/r! |
Ω |
0.42892818062759 |
Real period |
R |
3.8331441568994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997300432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30876c1 |
Quadratic twists by: -4 |