Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824be |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22436683776 = 213 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20019,-1090190] |
[a1,a2,a3,a4,a6] |
j |
297141543217/7514 |
j-invariant |
L |
3.2109208906151 |
L(r)(E,1)/r! |
Ω |
0.40136511132667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3978c2 127296du2 3536g2 |
Quadratic twists by: -4 8 -3 |