Atkin-Lehner |
2+ 3- 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bc |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
874243860480000 = 214 · 36 · 54 · 17 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33864,-1922752] |
[a1,a2,a3,a4,a6] |
j |
5891395301606529/1199237120000 |
j-invariant |
L |
2.8557169644392 |
L(r)(E,1)/r! |
Ω |
0.356964831938 |
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 |
14110g1 |
Quadratic twists by: -3 |