Atkin-Lehner |
3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813n |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.6295717397762E+21 |
Discriminant |
Eigenvalues |
1 3- -2 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3612843,1793689920] |
[a1,a2,a3,a4,a6] |
Generators |
[1794624061860:-5564225171105:1137893184] |
Generators of the group modulo torsion |
j |
296380748763217/92608836489 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
11271h3 1989e3 |
Quadratic twists by: -3 17 |