Atkin-Lehner |
3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11271h |
Isogeny class |
Conductor |
11271 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
624125121633 = 32 · 132 · 177 |
Discriminant |
Eigenvalues |
-1 3- 2 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-155777,23651808] |
[a1,a2,a3,a4,a6] |
Generators |
[27831:822017:27] |
Generators of the group modulo torsion |
j |
17319700013617/25857 |
j-invariant |
L |
3.8117660742571 |
L(r)(E,1)/r! |
Ω |
0.77726946411324 |
Real period |
R |
4.9040471165374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33813n1 663b1 |
Quadratic twists by: -3 17 |