Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248ch |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
15151183331328 = 215 · 32 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 4 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6561,80127] |
[a1,a2,a3,a4,a6] |
j |
953344975688/462377421 |
j-invariant |
L |
7.4729297785326 |
L(r)(E,1)/r! |
Ω |
0.62274414838561 |
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 |
61248bl2 30624a2 |
Quadratic twists by: -4 8 |