Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120bf |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-111738880000 = -1 · 219 · 54 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- -1 11+ 4 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812,18384] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:160:1] |
Generators of the group modulo torsion |
j |
-225866529/426250 |
j-invariant |
L |
6.8058299901437 |
L(r)(E,1)/r! |
Ω |
0.94034263993487 |
Real period |
R |
0.45235040611093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999841552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109120p1 27280m1 |
Quadratic twists by: -4 8 |