Atkin-Lehner |
3- 13+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421f |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
433920 |
Modular degree for the optimal curve |
Δ |
1736906054949 = 38 · 135 · 23 · 31 |
Discriminant |
Eigenvalues |
-2 3- 1 -1 2 13+ -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-158547,-24298736] |
[a1,a2,a3,a4,a6] |
j |
604602961576136704/2382587181 |
j-invariant |
L |
0.47850908969733 |
L(r)(E,1)/r! |
Ω |
0.2392545194175 |
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 |
27807c1 |
Quadratic twists by: -3 |