Atkin-Lehner |
2+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43706f |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
991872 |
Modular degree for the optimal curve |
Δ |
-280686091654061392 = -1 · 24 · 133 · 418 |
Discriminant |
Eigenvalues |
2+ -2 4 -1 -5 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44511,-25228636] |
[a1,a2,a3,a4,a6] |
j |
1221431/35152 |
j-invariant |
L |
0.89446133749488 |
L(r)(E,1)/r! |
Ω |
0.14907688962365 |
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 |
43706n1 |
Quadratic twists by: 41 |