Atkin-Lehner |
2+ 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109174d |
Isogeny class |
Conductor |
109174 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8854565081836396 = -1 · 22 · 136 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 2 -2 0 4 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,51204,-758740] |
[a1,a2,a3,a4,a6] |
j |
3075827761007/1834455244 |
j-invariant |
L |
1.9229284680512 |
L(r)(E,1)/r! |
Ω |
0.24036609885117 |
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 |
646b2 |
Quadratic twists by: 13 |