Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148bl |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
1.2331659600613E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12174213,16336898136] |
[a1,a2,a3,a4,a6] |
j |
131072000/81 |
j-invariant |
L |
0.73563209343358 |
L(r)(E,1)/r! |
Ω |
0.18390802780668 |
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 |
71148j1 71148bk1 |
Quadratic twists by: -7 -11 |