Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9152w |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-4390729547776 = -1 · 221 · 115 · 13 |
Discriminant |
Eigenvalues |
2- 2 1 -1 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4225,147489] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:192:1] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
6.2539342076388 |
L(r)(E,1)/r! |
Ω |
0.7221518241498 |
Real period |
R |
2.165034414682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9152n1 2288j1 82368fa1 100672dd1 |
Quadratic twists by: -4 8 -3 -11 |