Atkin-Lehner |
2- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150v |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
19783680 |
Modular degree for the optimal curve |
Δ |
-1.0980106305536E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ -4 -2 7 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1457341363,-21413739434783] |
[a1,a2,a3,a4,a6] |
j |
-21907234671397038959171876713/702726803554304 |
j-invariant |
L |
4.4960077866629 |
L(r)(E,1)/r! |
Ω |
0.012217412466736 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006e1 |
Quadratic twists by: 5 |