Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850cn |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
17694720 |
Modular degree for the optimal curve |
Δ |
-1.1112185606861E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49589251,143655654398] |
[a1,a2,a3,a4,a6] |
j |
-7336316844655213969/604492922880000 |
j-invariant |
L |
1.3644112829045 |
L(r)(E,1)/r! |
Ω |
0.08527570323072 |
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 |
16170bs1 11550k1 |
Quadratic twists by: 5 -7 |