Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800a |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
100625000000 = 26 · 510 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1758,24512] |
[a1,a2,a3,a4,a6] |
Generators |
[-951:5500:27] |
Generators of the group modulo torsion |
j |
601211584/100625 |
j-invariant |
L |
9.6498015052186 |
L(r)(E,1)/r! |
Ω |
1.0152501067729 |
Real period |
R |
4.7524256850676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800n1 25760n1 |
Quadratic twists by: -4 5 |