Atkin-Lehner |
2- 11- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98384p |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
36529290512 = 24 · 11 · 136 · 43 |
Discriminant |
Eigenvalues |
2- 0 -4 3 11- 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1277,-14965] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:13:1] [434:2197:8] |
Generators of the group modulo torsion |
j |
14393831728896/2283080657 |
j-invariant |
L |
9.4067309217602 |
L(r)(E,1)/r! |
Ω |
0.80719153350418 |
Real period |
R |
1.9422756825865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24596e1 |
Quadratic twists by: -4 |