Atkin-Lehner |
2- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960bl |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1643520 |
Modular degree for the optimal curve |
Δ |
-64480000000000 = -1 · 214 · 510 · 13 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- -4 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1660165,-823885725] |
[a1,a2,a3,a4,a6] |
j |
-30885724667700265984/3935546875 |
j-invariant |
L |
0.66501566581814 |
L(r)(E,1)/r! |
Ω |
0.066501542745786 |
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 |
128960u1 32240b1 |
Quadratic twists by: -4 8 |