Atkin-Lehner |
3- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745q |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-61083917868015 = -1 · 38 · 5 · 78 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4478,394436] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:732:1] |
Generators of the group modulo torsion |
j |
-13619385906841/83791382535 |
j-invariant |
L |
4.1799624677842 |
L(r)(E,1)/r! |
Ω |
0.53777100532637 |
Real period |
R |
1.9431888546362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999933486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915s1 |
Quadratic twists by: -3 |