Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158t |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-9087403014432 = -1 · 25 · 312 · 172 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2165,-149587] |
[a1,a2,a3,a4,a6] |
Generators |
[99:724:1] |
Generators of the group modulo torsion |
j |
-1538798703625/12465573408 |
j-invariant |
L |
6.832040310355 |
L(r)(E,1)/r! |
Ω |
0.30812497731711 |
Real period |
R |
1.108647596479 |
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 |
105264bm2 4386g2 |
Quadratic twists by: -4 -3 |