Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cw |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6111239405568 = 216 · 3 · 11 · 414 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5057,-72513] |
[a1,a2,a3,a4,a6] |
Generators |
[-228543:1802060:9261] |
Generators of the group modulo torsion |
j |
218277273028/93250113 |
j-invariant |
L |
11.344219234465 |
L(r)(E,1)/r! |
Ω |
0.5883542901524 |
Real period |
R |
9.6406361119039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592p3 21648f3 |
Quadratic twists by: -4 8 |