Atkin-Lehner |
3- 5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265f |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.4609716055184E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8924063,-9860717298] |
[a1,a2,a3,a4,a6] |
j |
107816199965727217785001/4747560501396915345 |
j-invariant |
L |
0.35034767948138 |
L(r)(E,1)/r! |
Ω |
0.087587012573146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755i3 |
Quadratic twists by: -3 |