Atkin-Lehner |
2+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122200k |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26245959584000 = 28 · 53 · 135 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9901068,11994736532] |
[a1,a2,a3,a4,a6] |
j |
3354439066959404715536/820186237 |
j-invariant |
L |
0.78671539331099 |
L(r)(E,1)/r! |
Ω |
0.39335868901013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122200bi2 |
Quadratic twists by: 5 |