Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50225g |
Isogeny class |
Conductor |
50225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2637911171875 = -1 · 57 · 77 · 41 |
Discriminant |
Eigenvalues |
2 2 5+ 7- -4 0 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-408,78343] |
[a1,a2,a3,a4,a6] |
j |
-4096/1435 |
j-invariant |
L |
5.2645092987401 |
L(r)(E,1)/r! |
Ω |
0.65806366248117 |
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 |
10045g1 7175e1 |
Quadratic twists by: 5 -7 |