Atkin-Lehner |
3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80631c |
Isogeny class |
Conductor |
80631 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43982994732155361 = 38 · 178 · 312 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96291,-5494608] |
[a1,a2,a3,a4,a6] |
j |
5611284433/2499561 |
j-invariant |
L |
5.0845321272903 |
L(r)(E,1)/r! |
Ω |
0.28247401150313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26877a2 4743d2 |
Quadratic twists by: -3 17 |