Atkin-Lehner |
2+ 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158i |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-28047540168 = -1 · 23 · 38 · 172 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27,-8051] |
[a1,a2,a3,a4,a6] |
j |
-3048625/38473992 |
j-invariant |
L |
2.1546106596099 |
L(r)(E,1)/r! |
Ω |
0.53865266490249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264bo2 4386k2 |
Quadratic twists by: -4 -3 |