Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290bm |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11767461867000 = 23 · 310 · 53 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-322704009,-2231202316235] |
[a1,a2,a3,a4,a6] |
j |
5098110762442119719364981649/16141923000 |
j-invariant |
L |
0.85488895250559 |
L(r)(E,1)/r! |
Ω |
0.035620373126996 |
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 |
17430v3 |
Quadratic twists by: -3 |