Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167g |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
658560 |
Modular degree for the optimal curve |
Δ |
3.188010723574E+22 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 11- -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8944662,5676575688] |
[a1,a2,a3,a4,a6] |
Generators |
[-3214:34996:1] |
Generators of the group modulo torsion |
j |
108564537417325852524544/43731285645734113581 |
j-invariant |
L |
3.68073072392 |
L(r)(E,1)/r! |
Ω |
0.10622254946221 |
Real period |
R |
5.775187319069 |
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 |
4389c1 92169bh1 |
Quadratic twists by: -3 -7 |