Atkin-Lehner |
2- 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998r |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
169931674242 = 2 · 32 · 116 · 732 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11800,-493954] |
[a1,a2,a3,a4,a6] |
j |
102568953241/95922 |
j-invariant |
L |
3.6647405319708 |
L(r)(E,1)/r! |
Ω |
0.4580925666078 |
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 |
438g2 |
Quadratic twists by: -11 |