Atkin-Lehner |
3- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
11817a |
Isogeny class |
Conductor |
11817 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1232 |
Modular degree for the optimal curve |
Δ |
-957177 = -1 · 36 · 13 · 101 |
Discriminant |
Eigenvalues |
-1 3- 2 2 -4 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[8:19:1] |
Generators of the group modulo torsion |
j |
658503/1313 |
j-invariant |
L |
3.4036754170243 |
L(r)(E,1)/r! |
Ω |
1.4535223404401 |
Real period |
R |
2.3416739614705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1313a1 |
Quadratic twists by: -3 |