Atkin-Lehner |
3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126243k |
Isogeny class |
Conductor |
126243 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-7885504768401 = -1 · 39 · 136 · 83 |
Discriminant |
Eigenvalues |
-1 3- 1 0 -3 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83687,-9298272] |
[a1,a2,a3,a4,a6] |
j |
-18420660721/2241 |
j-invariant |
L |
0.56138743963396 |
L(r)(E,1)/r! |
Ω |
0.1403467288437 |
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 |
42081a1 747c1 |
Quadratic twists by: -3 13 |