Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472bb |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-4973796352 = -1 · 210 · 75 · 172 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 4 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68,3400] |
[a1,a2,a3,a4,a6] |
j |
-117504/16807 |
j-invariant |
L |
5.5929471861246 |
L(r)(E,1)/r! |
Ω |
1.1185890993436 |
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 |
129472bx1 8092f1 129472r1 |
Quadratic twists by: -4 8 17 |