Atkin-Lehner |
2- 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13158p |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-133062748704 = -1 · 25 · 39 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,229,-17557] |
[a1,a2,a3,a4,a6] |
j |
1829276567/182527776 |
j-invariant |
L |
4.930363722715 |
L(r)(E,1)/r! |
Ω |
0.4930363722715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264bh1 4386i1 |
Quadratic twists by: -4 -3 |