Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810bc |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
58164480 |
Modular degree for the optimal curve |
Δ |
-7.5092633700877E+25 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 -2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-181071993,1026375795481] |
[a1,a2,a3,a4,a6] |
Generators |
[125661:14337092:27] |
Generators of the group modulo torsion |
j |
-94120924444786664289/10764800000000000 |
j-invariant |
L |
18.292686924385 |
L(r)(E,1)/r! |
Ω |
0.059587613569393 |
Real period |
R |
8.5274465909889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810bj1 |
Quadratic twists by: 17 |