Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312bj |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-10775804705243136 = -1 · 221 · 34 · 13 · 474 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8991,-4980609] |
[a1,a2,a3,a4,a6] |
j |
306591054407/41106432744 |
j-invariant |
L |
0.76651994730263 |
L(r)(E,1)/r! |
Ω |
0.19163027177059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117312ce3 3666a4 |
Quadratic twists by: -4 8 |