Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440o |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-727362611994070000 = -1 · 24 · 54 · 139 · 193 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13+ 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1001663,-388036337] |
[a1,a2,a3,a4,a6] |
Generators |
[21762:1043575:8] |
Generators of the group modulo torsion |
j |
-1439158115978496/9418264375 |
j-invariant |
L |
5.1646381074053 |
L(r)(E,1)/r! |
Ω |
0.07542569562813 |
Real period |
R |
1.4265248446436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998605494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880f1 |
Quadratic twists by: 13 |