Atkin-Lehner |
2- 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47138g |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-5068538850217024 = -1 · 26 · 78 · 135 · 37 |
Discriminant |
Eigenvalues |
2- 0 3 7+ -4 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63391,-7017657] |
[a1,a2,a3,a4,a6] |
j |
-4886701122177/879221824 |
j-invariant |
L |
3.5755582327844 |
L(r)(E,1)/r! |
Ω |
0.14898159303766 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47138o1 |
Quadratic twists by: -7 |