Atkin-Lehner |
3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775y |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
1.614222604303E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10671980,-13276230978] |
[a1,a2,a3,a4,a6] |
j |
11800791241514070769/141715016015625 |
j-invariant |
L |
1.0030783818125 |
L(r)(E,1)/r! |
Ω |
0.083589867827684 |
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 |
41925e1 25155j1 |
Quadratic twists by: -3 5 |