Atkin-Lehner |
2- 3- 7- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89838bf |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
468 |
Product of Tamagawa factors cp |
deg |
178004736 |
Modular degree for the optimal curve |
Δ |
-4.3737699871959E+29 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 6 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2176123469,-50389162949131] |
[a1,a2,a3,a4,a6] |
j |
-1563316032752341120190464006537/599968448175017237520605184 |
j-invariant |
L |
5.0757303952922 |
L(r)(E,1)/r! |
Ω |
0.010845577612144 |
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 |
29946k1 |
Quadratic twists by: -3 |