Atkin-Lehner |
2- 3- 13+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934bf |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2252800 |
Modular degree for the optimal curve |
Δ |
1.1885279363174E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1902170,-995577191] |
[a1,a2,a3,a4,a6] |
j |
1044104466407550017625/16303538221088768 |
j-invariant |
L |
2.8308757506509 |
L(r)(E,1)/r! |
Ω |
0.12867619488509 |
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 |
14326a1 |
Quadratic twists by: -3 |