Atkin-Lehner |
3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43575m |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
5087232 |
Modular degree for the optimal curve |
Δ |
5.7482250859918E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13356088,14828121167] |
[a1,a2,a3,a4,a6] |
j |
16863258742876221891769/3678864055034765625 |
j-invariant |
L |
1.8929657945039 |
L(r)(E,1)/r! |
Ω |
0.10516476634511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715d1 |
Quadratic twists by: 5 |