Atkin-Lehner |
3+ 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
81075d |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5748245135173828125 = -1 · 32 · 59 · 236 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-147838,-117470344] |
[a1,a2,a3,a4,a6] |
j |
-22869786255009049/367887688651125 |
j-invariant |
L |
1.2363446662554 |
L(r)(E,1)/r! |
Ω |
0.10302872588829 |
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 |
16215c2 |
Quadratic twists by: 5 |