Atkin-Lehner |
3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775k |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
173343627359296875 = 33 · 57 · 13 · 436 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-150230,10089522] |
[a1,a2,a3,a4,a6] |
Generators |
[45:1826:1] |
Generators of the group modulo torsion |
j |
888806482568523/410888598185 |
j-invariant |
L |
3.2161525828791 |
L(r)(E,1)/r! |
Ω |
0.28758436504768 |
Real period |
R |
0.93194466805292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125775i2 25155e2 |
Quadratic twists by: -3 5 |