Atkin-Lehner |
3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13167m |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-72768070683 = -1 · 39 · 72 · 11 · 193 |
Discriminant |
Eigenvalues |
0 3- 0 7- 11- 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,690,10944] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1795:1] |
Generators of the group modulo torsion |
j |
49836032000/99819027 |
j-invariant |
L |
4.2781121710892 |
L(r)(E,1)/r! |
Ω |
0.75472749744688 |
Real period |
R |
0.23618415176125 |
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 |
4389h1 92169ba1 |
Quadratic twists by: -3 -7 |