Atkin-Lehner |
2- 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986u |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-1.0621367101046E+23 |
Discriminant |
Eigenvalues |
2- -2 -3 1 11- 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7636368,-13411798784] |
[a1,a2,a3,a4,a6] |
Generators |
[16400:2118496:1] |
Generators of the group modulo torsion |
j |
27798934153765201127/59954848300711936 |
j-invariant |
L |
4.8431232782584 |
L(r)(E,1)/r! |
Ω |
0.055001865755081 |
Real period |
R |
1.5723892741804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726c1 |
Quadratic twists by: -11 |