Atkin-Lehner |
2- 11- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
127534o |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
451868521148 = 22 · 118 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 1 11- 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2080,-16409] |
[a1,a2,a3,a4,a6] |
j |
4640625/2108 |
j-invariant |
L |
4.4276432136065 |
L(r)(E,1)/r! |
Ω |
0.73794069504592 |
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 |
127534d1 |
Quadratic twists by: -11 |