Atkin-Lehner |
3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11271h |
Isogeny class |
Conductor |
11271 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2235352180762955241 = 38 · 132 · 1710 |
Discriminant |
Eigenvalues |
-1 3- 2 0 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-401427,-66432960] |
[a1,a2,a3,a4,a6] |
Generators |
[4032:250704:1] |
Generators of the group modulo torsion |
j |
296380748763217/92608836489 |
j-invariant |
L |
3.8117660742571 |
L(r)(E,1)/r! |
Ω |
0.19431736602831 |
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 |
33813n4 663b3 |
Quadratic twists by: -3 17 |