Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cp |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
2914526616216403968 = 234 · 310 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-655500,187029776] |
[a1,a2,a3,a4,a6] |
j |
162995025390625/15251079168 |
j-invariant |
L |
0.98888416149163 |
L(r)(E,1)/r! |
Ω |
0.24722155663179 |
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 |
127296w1 31824t1 42432bv1 |
Quadratic twists by: -4 8 -3 |