Atkin-Lehner |
2- 3+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117312bz |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45570269931982848 = 212 · 318 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179401,-27324887] |
[a1,a2,a3,a4,a6] |
Generators |
[-13522792014690:-68816562478847:63521199000] |
Generators of the group modulo torsion |
j |
155898078904713664/11125554182613 |
j-invariant |
L |
9.432852670885 |
L(r)(E,1)/r! |
Ω |
0.23301986044799 |
Real period |
R |
20.240447870872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117312cq2 58656z1 |
Quadratic twists by: -4 8 |