Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248bm |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
2999573553093392 = 24 · 119 · 433 |
Discriminant |
Eigenvalues |
2- 2 0 -1 11- -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36098,-147145] |
[a1,a2,a3,a4,a6] |
j |
183530848000/105823817 |
j-invariant |
L |
2.2651123746302 |
L(r)(E,1)/r! |
Ω |
0.37751872813772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20812h2 7568m2 |
Quadratic twists by: -4 -11 |