Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032a |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-1167259669546752 = -1 · 28 · 32 · 477 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25772,-416192] |
[a1,a2,a3,a4,a6] |
j |
686000/423 |
j-invariant |
L |
0.56343452592951 |
L(r)(E,1)/r! |
Ω |
0.28171732950237 |
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 |
53016o1 2256b1 |
Quadratic twists by: -4 -47 |