Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32472f |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
72593393190912 = 211 · 310 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19011,921886] |
[a1,a2,a3,a4,a6] |
j |
508957029506/48622761 |
j-invariant |
L |
1.1953777188438 |
L(r)(E,1)/r! |
Ω |
0.59768885942351 |
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 |
64944v4 10824l3 |
Quadratic twists by: -4 -3 |