Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975bx |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.1986193566378E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-248042501,908824136273] |
[a1,a2,a3,a4,a6] |
j |
60971359344939402841/22393337786551875 |
j-invariant |
L |
6.7694830180179 |
L(r)(E,1)/r! |
Ω |
0.047010302946742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23595f4 10725i3 |
Quadratic twists by: 5 -11 |