Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050iz |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6149220000 = -1 · 25 · 3 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-3783] |
[a1,a2,a3,a4,a6] |
Generators |
[32:149:1] |
Generators of the group modulo torsion |
j |
-3025/672 |
j-invariant |
L |
14.345719740085 |
L(r)(E,1)/r! |
Ω |
0.5991181587022 |
Real period |
R |
0.53210500892431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629523 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050bo1 127050et1 |
Quadratic twists by: 5 -11 |