Atkin-Lehner |
3- 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64467n |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
221400 |
Modular degree for the optimal curve |
Δ |
-53839756941867 = -1 · 36 · 135 · 193 · 29 |
Discriminant |
Eigenvalues |
-2 3- 0 0 -5 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21675,-1277978] |
[a1,a2,a3,a4,a6] |
j |
-1544804416000000/73854261923 |
j-invariant |
L |
0.58856080778645 |
L(r)(E,1)/r! |
Ω |
0.19618693653956 |
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 |
7163a1 |
Quadratic twists by: -3 |