Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054bh |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
1663200 |
Modular degree for the optimal curve |
Δ |
-1.100602285341E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-932247,-1633393431] |
[a1,a2,a3,a4,a6] |
Generators |
[7974:-709659:1] |
Generators of the group modulo torsion |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
6.3989169385712 |
L(r)(E,1)/r! |
Ω |
0.066067725475203 |
Real period |
R |
0.20964047822723 |
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 |
63162y1 174a1 |
Quadratic twists by: -3 -11 |