Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008bn |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-274142855168 = -1 · 220 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 3 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2913,-66529] |
[a1,a2,a3,a4,a6] |
j |
-10431681625/1045772 |
j-invariant |
L |
0.64616185525021 |
L(r)(E,1)/r! |
Ω |
0.32308090646554 |
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 |
99008v1 24752u1 |
Quadratic twists by: -4 8 |