Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125856w |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2940200779077070848 = 212 · 39 · 194 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18747180,31242841344] |
[a1,a2,a3,a4,a6] |
Generators |
[196:166060:1] |
Generators of the group modulo torsion |
j |
9038166122839608000/36469158961 |
j-invariant |
L |
3.6585691998836 |
L(r)(E,1)/r! |
Ω |
0.22319187853466 |
Real period |
R |
2.0490043686988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000345705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125856y2 125856b2 |
Quadratic twists by: -4 -3 |