Atkin-Lehner |
3- 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195d |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
460022066015625 = 36 · 58 · 312 · 412 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77055,8187200] |
[a1,a2,a3,a4,a6] |
j |
69406769118333681/631031640625 |
j-invariant |
L |
1.0587549940015 |
L(r)(E,1)/r! |
Ω |
0.5293774968164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6355d2 |
Quadratic twists by: -3 |