Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880u |
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] |
j |
2817559698624/2295847225 |
j-invariant |
L |
1.33036540948 |
L(r)(E,1)/r! |
Ω |
0.66518269755044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82880bb1 41440h2 |
Quadratic twists by: -4 8 |