Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974j |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14516281654093458 = 2 · 32 · 738 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -2 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-519689,144039314] |
[a1,a2,a3,a4,a6] |
j |
102568953241/95922 |
j-invariant |
L |
3.1430009023999 |
L(r)(E,1)/r! |
Ω |
0.39287511279999 |
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 |
95922o2 438g2 |
Quadratic twists by: -3 73 |