Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192r |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1207289137734093568 = -1 · 28 · 76 · 119 · 17 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31500,-52918736] |
[a1,a2,a3,a4,a6] |
j |
-5726576/2000033 |
j-invariant |
L |
0.48995343679373 |
L(r)(E,1)/r! |
Ω |
0.12248820502676 |
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 |
115192j2 |
Quadratic twists by: -11 |