Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975bx |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.3630820313824E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-219683126,1252936792523] |
[a1,a2,a3,a4,a6] |
j |
42358217070122052841/12149581640625 |
j-invariant |
L |
6.7694830180179 |
L(r)(E,1)/r! |
Ω |
0.094020605893485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23595f2 10725i2 |
Quadratic twists by: 5 -11 |