Atkin-Lehner |
2- 3+ 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950bk |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-114581952000000 = -1 · 212 · 34 · 56 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-148788,-22158219] |
[a1,a2,a3,a4,a6] |
j |
-23313505834116217/7333244928 |
j-invariant |
L |
2.9169612274819 |
L(r)(E,1)/r! |
Ω |
0.12154003931991 |
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 |
4278g1 |
Quadratic twists by: 5 |