Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054g |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6480000 |
Modular degree for the optimal curve |
Δ |
-1.0974934349421E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 11- -5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,110813613,229079688237] |
[a1,a2,a3,a4,a6] |
Generators |
[3736242948516795:568041847970834852:366293248875] |
Generators of the group modulo torsion |
j |
84946783689490628882159/61950643243000528896 |
j-invariant |
L |
2.9879545471854 |
L(r)(E,1)/r! |
Ω |
0.037799262097848 |
Real period |
R |
19.761989926223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162bz1 1914g1 |
Quadratic twists by: -3 -11 |