Atkin-Lehner |
3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13167i |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
622257712461 = 311 · 75 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11+ 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16833,-839745] |
[a1,a2,a3,a4,a6] |
Generators |
[-590:185:8] |
Generators of the group modulo torsion |
j |
723570336280576/853577109 |
j-invariant |
L |
8.874094261491 |
L(r)(E,1)/r! |
Ω |
0.41916975265308 |
Real period |
R |
2.117064555666 |
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 |
4389k1 92169x1 |
Quadratic twists by: -3 -7 |