Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ey |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1824000 |
Modular degree for the optimal curve |
Δ |
-733312194468750000 = -1 · 24 · 36 · 59 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-130055,45014447] |
[a1,a2,a3,a4,a6] |
j |
-170861484149/515028592 |
j-invariant |
L |
2.0050580512572 |
L(r)(E,1)/r! |
Ω |
0.25063220726956 |
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 |
12350f1 111150cn1 |
Quadratic twists by: -3 5 |