Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880cu |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2950588835758080 = 216 · 34 · 5 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9087160,-10546664620] |
[a1,a2,a3,a4,a6] |
Generators |
[-16119852:-140426:9261] |
Generators of the group modulo torsion |
j |
20260414982443110947641/720358602480 |
j-invariant |
L |
8.0649579258864 |
L(r)(E,1)/r! |
Ω |
0.086954589243295 |
Real period |
R |
7.7290897812972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610f3 |
Quadratic twists by: -4 |