Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200cj |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
296000000000 = 212 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-616633,-186169863] |
[a1,a2,a3,a4,a6] |
j |
405158291551936/4625 |
j-invariant |
L |
3.0666577521176 |
L(r)(E,1)/r! |
Ω |
0.17036987531205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200cm2 29600ba1 11840bo2 |
Quadratic twists by: -4 8 5 |