Atkin-Lehner |
5+ 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127075f |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1032484375 = -1 · 56 · 132 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,95,-1528] |
[a1,a2,a3,a4,a6] |
j |
6128487/66079 |
j-invariant |
L |
1.5343782308572 |
L(r)(E,1)/r! |
Ω |
0.76718992940338 |
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 |
5083a1 |
Quadratic twists by: 5 |