Atkin-Lehner |
2- 3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54264j |
Isogeny class |
Conductor |
54264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
230860292849335296 = 210 · 35 · 7 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-717312,232929180] |
[a1,a2,a3,a4,a6] |
j |
39861042219870455812/225449504735679 |
j-invariant |
L |
1.2618762700298 |
L(r)(E,1)/r! |
Ω |
0.31546906796147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528c3 |
Quadratic twists by: -4 |