Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680be |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
189084060518400 = 211 · 32 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208176,36622476] |
[a1,a2,a3,a4,a6] |
j |
20183398562/3825 |
j-invariant |
L |
1.1012361646774 |
L(r)(E,1)/r! |
Ω |
0.55061808234049 |
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 |
69360bc2 104040ba2 2040o2 |
Quadratic twists by: -4 -3 17 |