Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402z |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-54271275246442926 = -1 · 2 · 314 · 77 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181644,-31850946] |
[a1,a2,a3,a4,a6] |
j |
-5633765843195953/461298228174 |
j-invariant |
L |
3.2224885346738 |
L(r)(E,1)/r! |
Ω |
0.11508887623835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73206t2 3486h2 |
Quadratic twists by: -3 -7 |