Atkin-Lehner |
2- 3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528x |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
187906902634450944 = 212 · 34 · 75 · 173 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1403045,639797133] |
[a1,a2,a3,a4,a6] |
Generators |
[164:20349:1] |
Generators of the group modulo torsion |
j |
74572529560399507456/45875708650989 |
j-invariant |
L |
6.4230523418802 |
L(r)(E,1)/r! |
Ω |
0.31574089571619 |
Real period |
R |
0.22603105581791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6783d1 |
Quadratic twists by: -4 |