Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128832q |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1952086836953088 = 214 · 37 · 114 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56497,4692623] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:2904:1] |
Generators of the group modulo torsion |
j |
1217271970385872/119145925107 |
j-invariant |
L |
11.878178692073 |
L(r)(E,1)/r! |
Ω |
0.45398939703479 |
Real period |
R |
0.93442858681885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999262664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128832bh2 8052a2 |
Quadratic twists by: -4 8 |