Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55176o |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
21611116741632 = 210 · 3 · 117 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-480168,-128227200] |
[a1,a2,a3,a4,a6] |
Generators |
[49958169453380552:993807557025725409:49868540826112] |
Generators of the group modulo torsion |
j |
6749136170500/11913 |
j-invariant |
L |
8.8515179135844 |
L(r)(E,1)/r! |
Ω |
0.18136405688173 |
Real period |
R |
24.40262438374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110352f1 5016c1 |
Quadratic twists by: -4 -11 |