Atkin-Lehner |
3- 5+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745q |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
369785400338025 = 310 · 52 · 74 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112523,14526722] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:5485:1] |
Generators of the group modulo torsion |
j |
216130706355571561/507250206225 |
j-invariant |
L |
4.1799624677842 |
L(r)(E,1)/r! |
Ω |
0.53777100532637 |
Real period |
R |
0.9715944273181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999933486 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33915s2 |
Quadratic twists by: -3 |