Atkin-Lehner |
2- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
8888a |
Isogeny class |
Conductor |
8888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
3128576 = 28 · 112 · 101 |
Discriminant |
Eigenvalues |
2- -2 -1 -4 11+ -1 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,43] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:6:1] [-2:11:1] |
Generators of the group modulo torsion |
j |
30505984/12221 |
j-invariant |
L |
3.8559533822515 |
L(r)(E,1)/r! |
Ω |
2.2932174505757 |
Real period |
R |
0.42036499649034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17776c1 71104j1 79992i1 97768e1 |
Quadratic twists by: -4 8 -3 -11 |