Atkin-Lehner |
3- 13+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
83421i |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
486528 |
Modular degree for the optimal curve |
Δ |
-750150426176307 = -1 · 36 · 137 · 232 · 31 |
Discriminant |
Eigenvalues |
2 3- 2 -2 -5 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17229,1579279] |
[a1,a2,a3,a4,a6] |
j |
-775847556739072/1029012930283 |
j-invariant |
L |
1.8253211505834 |
L(r)(E,1)/r! |
Ω |
0.45633029393042 |
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 |
9269a1 |
Quadratic twists by: -3 |