Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bx |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
-1.1126174803374E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29156,507485649] |
[a1,a2,a3,a4,a6] |
Generators |
[9404401:28835396163:1] |
Generators of the group modulo torsion |
j |
-169/6860 |
j-invariant |
L |
8.2388842432251 |
L(r)(E,1)/r! |
Ω |
0.14964273984199 |
Real period |
R |
13.764256548959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11830v1 82810bg1 |
Quadratic twists by: -7 13 |