Atkin-Lehner |
3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195d |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
141381683349609375 = 36 · 516 · 31 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134250,-5551039] |
[a1,a2,a3,a4,a6] |
j |
367063233970148001/193939208984375 |
j-invariant |
L |
1.0587549940015 |
L(r)(E,1)/r! |
Ω |
0.2646887484082 |
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 |
6355d4 |
Quadratic twists by: -3 |