Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120bg |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4161016217600 = -1 · 214 · 52 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6172,210864] |
[a1,a2,a3,a4,a6] |
Generators |
[408:8100:1] |
Generators of the group modulo torsion |
j |
-1587016803024/253968275 |
j-invariant |
L |
6.8393529051133 |
L(r)(E,1)/r! |
Ω |
0.75194928713214 |
Real period |
R |
4.5477487834024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120q2 27280a2 |
Quadratic twists by: -4 8 |