Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400cd |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-138161420800000000 = -1 · 215 · 58 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -3 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,71792,16254912] |
[a1,a2,a3,a4,a6] |
j |
25575600335/86350888 |
j-invariant |
L |
1.3917229057387 |
L(r)(E,1)/r! |
Ω |
0.23195379602772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11050o2 88400bb2 |
Quadratic twists by: -4 5 |