Atkin-Lehner |
2- 3- 41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
107748c |
Isogeny class |
Conductor |
107748 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
18552792377232 = 24 · 318 · 41 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 1 7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13845,591793] |
[a1,a2,a3,a4,a6] |
j |
25162574944000/1590602913 |
j-invariant |
L |
1.353059226832 |
L(r)(E,1)/r! |
Ω |
0.67652959339065 |
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 |
35916b1 |
Quadratic twists by: -3 |