Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5382i |
Isogeny class |
Conductor |
5382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
130346658 = 2 · 36 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16220,-791027] |
[a1,a2,a3,a4,a6] |
j |
647326865237625/178802 |
j-invariant |
L |
3.3843785062191 |
L(r)(E,1)/r! |
Ω |
0.42304731327738 |
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 |
43056bt2 598a2 69966f2 123786bd2 |
Quadratic twists by: -4 -3 13 -23 |