Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bc |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28131840 |
Modular degree for the optimal curve |
Δ |
-5.8408076303247E+23 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 11- 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1326924,36765041616] |
[a1,a2,a3,a4,a6] |
j |
1653456090143/3737695289344 |
j-invariant |
L |
0.57640252718059 |
L(r)(E,1)/r! |
Ω |
0.072050294851477 |
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 |
14278g1 128502cg1 |
Quadratic twists by: -3 -11 |