Atkin-Lehner |
13+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9503c |
Isogeny class |
Conductor |
9503 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
5312177 = 132 · 17 · 432 |
Discriminant |
Eigenvalues |
1 0 -4 4 6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74,-201] |
[a1,a2,a3,a4,a6] |
j |
45156047481/5312177 |
j-invariant |
L |
1.6392308181641 |
L(r)(E,1)/r! |
Ω |
1.6392308181641 |
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 |
85527f1 123539g1 |
Quadratic twists by: -3 13 |