Atkin-Lehner |
3- 5+ 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82305d |
Isogeny class |
Conductor |
82305 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-5.0934577742592E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 4 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7424708,7864143792] |
[a1,a2,a3,a4,a6] |
Generators |
[-1048:120912:1] |
Generators of the group modulo torsion |
j |
-62091802004417353680121/698691052710452745 |
j-invariant |
L |
4.6899832258724 |
L(r)(E,1)/r! |
Ω |
0.16587713341161 |
Real period |
R |
4.7123063685426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999847456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27435e1 |
Quadratic twists by: -3 |