Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592do |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
119970791424 = 216 · 32 · 112 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1889,-27489] |
[a1,a2,a3,a4,a6] |
Generators |
[705:18696:1] |
Generators of the group modulo torsion |
j |
11380714852/1830609 |
j-invariant |
L |
5.9187682245874 |
L(r)(E,1)/r! |
Ω |
0.73201636526683 |
Real period |
R |
4.0427840860501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86592h2 21648c2 |
Quadratic twists by: -4 8 |