Atkin-Lehner |
13+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106301b |
Isogeny class |
Conductor |
106301 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-877422166829 = -1 · 136 · 173 · 37 |
Discriminant |
Eigenvalues |
-1 0 -1 1 5 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1827,-34030] |
[a1,a2,a3,a4,a6] |
j |
139798359/181781 |
j-invariant |
L |
0.94805377570754 |
L(r)(E,1)/r! |
Ω |
0.47402693424887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
629a1 |
Quadratic twists by: 13 |