Atkin-Lehner |
2- 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448bo |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1155072 |
Modular degree for the optimal curve |
Δ |
-12157598300110848 = -1 · 228 · 310 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108291,14706434] |
[a1,a2,a3,a4,a6] |
j |
-47034153084673/4071555072 |
j-invariant |
L |
1.5697999541545 |
L(r)(E,1)/r! |
Ω |
0.39244976380466 |
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 |
13806f1 36816m1 |
Quadratic twists by: -4 -3 |