Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880bb |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-146934222400 = -1 · 26 · 52 · 72 · 374 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1177,-9928] |
[a1,a2,a3,a4,a6] |
Generators |
[836:5607:64] |
Generators of the group modulo torsion |
j |
2817559698624/2295847225 |
j-invariant |
L |
6.2800868986334 |
L(r)(E,1)/r! |
Ω |
0.57102611007782 |
Real period |
R |
5.4989489868645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82880u1 41440j2 |
Quadratic twists by: -4 8 |