Atkin-Lehner |
2- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82654l |
Isogeny class |
Conductor |
82654 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
50112 |
Modular degree for the optimal curve |
Δ |
-48920588288 = -1 · 212 · 11 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 1 0 -1 11+ 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,572,-9200] |
[a1,a2,a3,a4,a6] |
j |
247781375/585728 |
j-invariant |
L |
2.3371873820084 |
L(r)(E,1)/r! |
Ω |
0.58429685081341 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82654p1 |
Quadratic twists by: 17 |