Atkin-Lehner |
3- 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175r |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
6312866625 = 36 · 53 · 13 · 732 |
Discriminant |
Eigenvalues |
1 3- 5- 4 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-866,-9097] |
[a1,a2,a3,a4,a6] |
j |
573649047629/50502933 |
j-invariant |
L |
5.3108647001486 |
L(r)(E,1)/r! |
Ω |
0.88514411941799 |
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 |
71175g1 |
Quadratic twists by: 5 |