Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824c |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.0403067208419E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-756435,129974114] |
[a1,a2,a3,a4,a6] |
j |
64122592551794500/27331783704693 |
j-invariant |
L |
1.5600187911016 |
L(r)(E,1)/r! |
Ω |
0.19500234888773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15912l2 127296cs2 10608a2 |
Quadratic twists by: -4 8 -3 |