Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864bc |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-2237074529333248 = -1 · 212 · 113 · 177 |
Discriminant |
Eigenvalues |
2- 0 -4 -5 11+ 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32368,-393040] |
[a1,a2,a3,a4,a6] |
j |
37933056/22627 |
j-invariant |
L |
0.53910067200607 |
L(r)(E,1)/r! |
Ω |
0.26955033671488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3179e1 2992i1 |
Quadratic twists by: -4 17 |