Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600cl |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
516713381888000 = 218 · 53 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 2 5- 4 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20688,347072] |
[a1,a2,a3,a4,a6] |
Generators |
[4584:35200:27] |
Generators of the group modulo torsion |
j |
1912626928997/1009205824 |
j-invariant |
L |
11.576068582913 |
L(r)(E,1)/r! |
Ω |
0.45776879525065 |
Real period |
R |
3.1610030840527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450bg2 83600cn2 |
Quadratic twists by: -4 5 |