Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080bx |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1336493213286400 = 216 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29068,738192] |
[a1,a2,a3,a4,a6] |
j |
8586756/4225 |
j-invariant |
L |
0.85572794014115 |
L(r)(E,1)/r! |
Ω |
0.42786396942861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54080a2 13520h2 4160o2 |
Quadratic twists by: -4 8 13 |