Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330bc |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5152132884117E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,181620,1872533200] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:43060:1] |
Generators of the group modulo torsion |
j |
18547687612920431/42417997492000000 |
j-invariant |
L |
3.5769427021653 |
L(r)(E,1)/r! |
Ω |
0.11834682149865 |
Real period |
R |
3.7780299641514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370w2 57330cb2 |
Quadratic twists by: -3 -7 |