Atkin-Lehner |
2- 3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850br |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1188209002500000 = 25 · 32 · 57 · 134 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32688,1543281] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:1997:1] |
Generators of the group modulo torsion |
j |
247212009217081/76045376160 |
j-invariant |
L |
10.461768186189 |
L(r)(E,1)/r! |
Ω |
0.45090238929626 |
Real period |
R |
0.5800461716364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770k2 |
Quadratic twists by: 5 |