Atkin-Lehner |
2+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43706n |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-59090512 = -1 · 24 · 133 · 412 |
Discriminant |
Eigenvalues |
2+ 2 4 1 5 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27,-355] |
[a1,a2,a3,a4,a6] |
j |
1221431/35152 |
j-invariant |
L |
5.727347070963 |
L(r)(E,1)/r! |
Ω |
0.95455784519027 |
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 |
43706f1 |
Quadratic twists by: 41 |