Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600fv |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
440640000000000 = 215 · 34 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25633,1223137] |
[a1,a2,a3,a4,a6] |
j |
3638052872/860625 |
j-invariant |
L |
1.9883759886455 |
L(r)(E,1)/r! |
Ω |
0.49709400806521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ih4 40800w3 16320dc3 |
Quadratic twists by: -4 8 5 |