Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120w |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1082470400 = -1 · 212 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148,1728] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:45:1] |
Generators of the group modulo torsion |
j |
-87528384/264275 |
j-invariant |
L |
6.349080017387 |
L(r)(E,1)/r! |
Ω |
1.3643380809899 |
Real period |
R |
2.3267986437031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120z2 54560g1 |
Quadratic twists by: -4 8 |