Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bn |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.9263662564831E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2780136,-1904156560] |
[a1,a2,a3,a4,a6] |
Generators |
[4115586736940:275493388708560:806954491] |
Generators of the group modulo torsion |
j |
-327495950129089/26547449500 |
j-invariant |
L |
8.2182562225149 |
L(r)(E,1)/r! |
Ω |
0.058189077514315 |
Real period |
R |
17.65420713597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730f3 11440i3 |
Quadratic twists by: -4 -11 |