Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200dp |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
705950445993984000 = 223 · 36 · 53 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-830568,288252468] |
[a1,a2,a3,a4,a6] |
j |
123759873855465821/1378809464832 |
j-invariant |
L |
3.4444675309016 |
L(r)(E,1)/r! |
Ω |
0.28703896091158 |
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 |
4650l2 111600ga2 37200cf2 |
Quadratic twists by: -4 -3 5 |