Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449u |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
5173393973086122651 = 37 · 78 · 177 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 6 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-576176,128058144] |
[a1,a2,a3,a4,a6] |
j |
208537/51 |
j-invariant |
L |
1.8182295058148 |
L(r)(E,1)/r! |
Ω |
0.22727898860958 |
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 |
42483a1 127449bn1 7497e1 |
Quadratic twists by: -3 -7 17 |