Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064dv |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
5376000 |
Modular degree for the optimal curve |
Δ |
-4.1133915498954E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -2 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1783231,-334215297] |
[a1,a2,a3,a4,a6] |
Generators |
[346:18009:1] |
Generators of the group modulo torsion |
j |
19137991166567247736/12553074798264783 |
j-invariant |
L |
9.7998851693223 |
L(r)(E,1)/r! |
Ω |
0.095918616925878 |
Real period |
R |
0.36488839090256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064ch1 64032x1 |
Quadratic twists by: -4 8 |