Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bs |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
631854651186 = 2 · 312 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2579,33473] |
[a1,a2,a3,a4,a6] |
j |
529475129/176418 |
j-invariant |
L |
3.3626856801168 |
L(r)(E,1)/r! |
Ω |
0.84067142067952 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074i2 57222bj2 |
Quadratic twists by: -3 17 |