Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600hu |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
16711680000000 = 222 · 3 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34816033,-79082571937] |
[a1,a2,a3,a4,a6] |
Generators |
[2682231788716744861309:-298559210267399794559424:178207375369435021] |
Generators of the group modulo torsion |
j |
1139466686381936641/4080 |
j-invariant |
L |
8.8532377360376 |
L(r)(E,1)/r! |
Ω |
0.062151946171647 |
Real period |
R |
35.611265150968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999986305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600c4 20400bt3 16320bt3 |
Quadratic twists by: -4 8 5 |