Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800er |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
138830760000000000 = 212 · 38 · 510 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129675,-1295750] |
[a1,a2,a3,a4,a6] |
j |
5168743489/2975625 |
j-invariant |
L |
2.1905304563049 |
L(r)(E,1)/r! |
Ω |
0.2738163067333 |
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 |
5175e2 27600cp2 16560by2 |
Quadratic twists by: -4 -3 5 |