Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
58176bn |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
105269838741504 = 219 · 39 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14796,-486000] |
[a1,a2,a3,a4,a6] |
j |
69426531/20402 |
j-invariant |
L |
0.88529000702838 |
L(r)(E,1)/r! |
Ω |
0.44264500275092 |
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 |
58176b2 14544n2 58176bq2 |
Quadratic twists by: -4 8 -3 |