Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128440ba |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
121395456 |
Modular degree for the optimal curve |
Δ |
-2.4645561968997E+29 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -1 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1337787720,14689749871900] |
[a1,a2,a3,a4,a6] |
Generators |
[29230:8875040:1] |
Generators of the group modulo torsion |
j |
1875650198678810684/1745843240234375 |
j-invariant |
L |
3.1359298665582 |
L(r)(E,1)/r! |
Ω |
0.020427522083032 |
Real period |
R |
8.5286079211452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999582815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128440c1 |
Quadratic twists by: 13 |