Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600fh |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
124264710144000000 = 222 · 38 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-182433,24796737] |
[a1,a2,a3,a4,a6] |
j |
163936758817/30338064 |
j-invariant |
L |
1.2566662536118 |
L(r)(E,1)/r! |
Ω |
0.31416654869361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81600cn2 20400cx2 3264bc2 |
Quadratic twists by: -4 8 5 |