Atkin-Lehner |
2- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53482l |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.3368709981946E+24 |
Discriminant |
Eigenvalues |
2- -2 0 4 11- 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-75381853,257974550769] |
[a1,a2,a3,a4,a6] |
Generators |
[5200:78663:1] |
Generators of the group modulo torsion |
j |
-26740407923656692603625/754628826325811008 |
j-invariant |
L |
8.0161967346504 |
L(r)(E,1)/r! |
Ω |
0.085449185014534 |
Real period |
R |
7.8177035209059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4862c4 |
Quadratic twists by: -11 |