Atkin-Lehner |
11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43681h |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23800 |
Modular degree for the optimal curve |
Δ |
-12151136899 = -1 · 116 · 193 |
Discriminant |
Eigenvalues |
0 0 -1 -3 11- 0 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4598,-120123] |
[a1,a2,a3,a4,a6] |
j |
-884736 |
j-invariant |
L |
0.57973281210803 |
L(r)(E,1)/r! |
Ω |
0.2898664060254 |
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 |
361a1 43681h2 |
Quadratic twists by: -11 -19 |