Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gv |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7.5224397495514E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2147621279,-38307037913427] |
[a1,a2,a3,a4,a6] |
Generators |
[-701943841574713455063553293981215791059966626557400:354481969439056568364806697151519303950264739327677:26237014372158825427599599059470567061544000000] |
Generators of the group modulo torsion |
j |
7209828390823479793/49509306 |
j-invariant |
L |
12.821582470378 |
L(r)(E,1)/r! |
Ω |
0.022177374499588 |
Real period |
R |
72.267247279434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574o4 15246bu4 9702p4 |
Quadratic twists by: -3 -7 -11 |