Atkin-Lehner |
2- 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600ch |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.0149540864E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-906571208,-10506026819088] |
[a1,a2,a3,a4,a6] |
Generators |
[158728537989364625077950007769725121139581388270311346762:40004885838763582824801846359944486774617768319395663629514:2059904654086561757005331590107833104708986789645529] |
Generators of the group modulo torsion |
j |
10300053769617070951829/5018692608 |
j-invariant |
L |
4.9267269322127 |
L(r)(E,1)/r! |
Ω |
0.027513704850256 |
Real period |
R |
89.532234190678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450l2 99600dl2 |
Quadratic twists by: -4 5 |