Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800eh |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-9657792000000 = -1 · 212 · 38 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-152750] |
[a1,a2,a3,a4,a6] |
j |
-15625/207 |
j-invariant |
L |
2.4847654776114 |
L(r)(E,1)/r! |
Ω |
0.31059568974353 |
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 |
5175b1 27600cn1 3312l1 |
Quadratic twists by: -4 -3 5 |