Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054k |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11232000 |
Modular degree for the optimal curve |
Δ |
1.892400488554E+25 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11- 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75687317,142896843885] |
[a1,a2,a3,a4,a6] |
Generators |
[2621630:-52241775:1331] |
Generators of the group modulo torsion |
j |
27066801716613381357361/10682107410097677312 |
j-invariant |
L |
2.8351493829764 |
L(r)(E,1)/r! |
Ω |
0.062500144602762 |
Real period |
R |
7.5603808625726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162cf1 1914j1 |
Quadratic twists by: -3 -11 |