Atkin-Lehner |
5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80275s |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3403277439453125 = 59 · 136 · 192 |
Discriminant |
Eigenvalues |
-1 0 5- 2 4 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104305,12684572] |
[a1,a2,a3,a4,a6] |
j |
13312053/361 |
j-invariant |
L |
0.88892615440014 |
L(r)(E,1)/r! |
Ω |
0.44446308802343 |
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 |
80275o2 475b2 |
Quadratic twists by: 5 13 |