Atkin-Lehner |
3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
42081b |
Isogeny class |
Conductor |
42081 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1201875441 = -1 · 3 · 136 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 1 4 3 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,250,788] |
[a1,a2,a3,a4,a6] |
j |
357911/249 |
j-invariant |
L |
1.9448487691711 |
L(r)(E,1)/r! |
Ω |
0.97242438454832 |
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 |
126243j1 249b1 |
Quadratic twists by: -3 13 |