Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266o |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9383678183286 = -1 · 2 · 314 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4594,84611] |
[a1,a2,a3,a4,a6] |
Generators |
[1214:15899:8] |
Generators of the group modulo torsion |
j |
14711527911527/12871986534 |
j-invariant |
L |
6.3143108752134 |
L(r)(E,1)/r! |
Ω |
0.47406527458564 |
Real period |
R |
6.6597483655943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128ca3 4422f4 |
Quadratic twists by: -4 -3 |