Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792bs |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
473521994073870336 = 212 · 312 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-669257,-208341705] |
[a1,a2,a3,a4,a6] |
j |
8093626893363763648/115605955584441 |
j-invariant |
L |
6.0142209501003 |
L(r)(E,1)/r! |
Ω |
0.16706169310177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57792f2 28896l1 |
Quadratic twists by: -4 8 |