Atkin-Lehner |
3- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
79059o |
Isogeny class |
Conductor |
79059 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
195757910841 = 3 · 197 · 73 |
Discriminant |
Eigenvalues |
1 3- 2 4 -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31415,-2145619] |
[a1,a2,a3,a4,a6] |
j |
72877493233/4161 |
j-invariant |
L |
5.7377076716915 |
L(r)(E,1)/r! |
Ω |
0.35860672737963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161b1 |
Quadratic twists by: -19 |