Atkin-Lehner |
3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813n |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
454987213670457 = 38 · 132 · 177 |
Discriminant |
Eigenvalues |
1 3- -2 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1401993,-638598816] |
[a1,a2,a3,a4,a6] |
Generators |
[210353253660:-98046014809238:970299] |
Generators of the group modulo torsion |
j |
17319700013617/25857 |
j-invariant |
L |
5.6045794058195 |
L(r)(E,1)/r! |
Ω |
0.13874365071144 |
Real period |
R |
20.197606798872 |
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 |
11271h1 1989e1 |
Quadratic twists by: -3 17 |