Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950gj |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
596736 |
Modular degree for the optimal curve |
Δ |
-1809593547930000 = -1 · 24 · 32 · 54 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23162,-1522669] |
[a1,a2,a3,a4,a6] |
j |
44871916070975/59088768912 |
j-invariant |
L |
2.0060824586308 |
L(r)(E,1)/r! |
Ω |
0.25076047824772 |
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 |
124950cz1 124950ir1 |
Quadratic twists by: 5 -7 |