Atkin-Lehner |
5+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128975j |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-6206921875 = -1 · 56 · 72 · 112 · 67 |
Discriminant |
Eigenvalues |
2 2 5+ 7- 11- 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,3793] |
[a1,a2,a3,a4,a6] |
j |
-4096/397243 |
j-invariant |
L |
8.5524302258714 |
L(r)(E,1)/r! |
Ω |
1.0690537856749 |
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 |
5159e1 |
Quadratic twists by: 5 |