Atkin-Lehner |
2+ 3+ 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346f |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
3.6926305067325E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25609461,-49790409931] |
[a1,a2,a3,a4,a6] |
j |
94369953969253988095491/187605065626812416 |
j-invariant |
L |
2.4163162680254 |
L(r)(E,1)/r! |
Ω |
0.067119901683941 |
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 |
104346bo1 |
Quadratic twists by: -3 |