Atkin-Lehner |
3- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725bj |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
17107200 |
Modular degree for the optimal curve |
Δ |
-6.4235967494123E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21219463,127610546042] |
[a1,a2,a3,a4,a6] |
j |
-67624934036455723146409/411110191962385232625 |
j-invariant |
L |
1.4277834648174 |
L(r)(E,1)/r! |
Ω |
0.064899220012663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945b1 |
Quadratic twists by: 5 |