Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890gh |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-4915993365634528800 = -1 · 25 · 37 · 52 · 713 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-285557,-121704019] |
[a1,a2,a3,a4,a6] |
j |
-30025133704441/57318592800 |
j-invariant |
L |
7.7757868849146 |
L(r)(E,1)/r! |
Ω |
0.09719734223995 |
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 |
42630bi1 18270bq1 |
Quadratic twists by: -3 -7 |