Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054bg |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-20832877080576 = -1 · 212 · 32 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4656,-182016] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3456:1] |
Generators of the group modulo torsion |
j |
6300872423/11759616 |
j-invariant |
L |
8.3269811291892 |
L(r)(E,1)/r! |
Ω |
0.35674224118632 |
Real period |
R |
3.8902883594134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63162u1 1914e1 |
Quadratic twists by: -3 -11 |