Atkin-Lehner |
2+ 3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778i |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1270648437576336 = 24 · 310 · 72 · 134 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28791,-763763] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1049:1] |
Generators of the group modulo torsion |
j |
3620553066443377/1743001971984 |
j-invariant |
L |
5.3503880740527 |
L(r)(E,1)/r! |
Ω |
0.38451117925057 |
Real period |
R |
3.4786947445947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16926bb2 |
Quadratic twists by: -3 |