Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368by |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.2850859113254E+25 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46495596,-260358935632] |
[a1,a2,a3,a4,a6] |
Generators |
[39509558131268294390563791950:3748110675419655111434513154048:2872245603986062347078125] |
Generators of the group modulo torsion |
j |
-58169016237585194137/119573538788081664 |
j-invariant |
L |
8.1256580103668 |
L(r)(E,1)/r! |
Ω |
0.027134364492966 |
Real period |
R |
37.43250561697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82368du2 2574v2 27456e2 |
Quadratic twists by: -4 8 -3 |