Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824bk |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-372671108825812992 = -1 · 212 · 38 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31821,29289778] |
[a1,a2,a3,a4,a6] |
j |
1193377118543/124806800313 |
j-invariant |
L |
3.7005428317718 |
L(r)(E,1)/r! |
Ω |
0.23128392698569 |
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 |
1989e4 127296cg3 10608ba4 |
Quadratic twists by: -4 8 -3 |