Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bs |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
22699573248 = 224 · 3 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,-23807] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:28:1] [426:1547:8] |
Generators of the group modulo torsion |
j |
1838265625/86592 |
j-invariant |
L |
10.363816261727 |
L(r)(E,1)/r! |
Ω |
0.75317628105734 |
Real period |
R |
13.760146890825 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bk1 21648be1 |
Quadratic twists by: -4 8 |