Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592ce |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
118507732992 = 215 · 36 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,-33759] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:33:1] |
Generators of the group modulo torsion |
j |
33324076232/3616569 |
j-invariant |
L |
4.9931562840884 |
L(r)(E,1)/r! |
Ω |
0.7064330461195 |
Real period |
R |
3.5340619418866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592dt2 43296u2 |
Quadratic twists by: -4 8 |