Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600b |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
19921875000000 = 26 · 3 · 514 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6908,-49938] |
[a1,a2,a3,a4,a6] |
Generators |
[1848885:-42726502:3375] |
Generators of the group modulo torsion |
j |
36462258496/19921875 |
j-invariant |
L |
6.5944089076721 |
L(r)(E,1)/r! |
Ω |
0.55920643182207 |
Real period |
R |
11.792441095497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600cp1 40800t3 16320ba1 |
Quadratic twists by: -4 8 5 |