Atkin-Lehner |
2+ 3+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778a |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24263750227626 = 2 · 39 · 76 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11436,-403858] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:217:1] |
Generators of the group modulo torsion |
j |
8403809924691/1232726222 |
j-invariant |
L |
4.0847951271858 |
L(r)(E,1)/r! |
Ω |
0.4661933285113 |
Real period |
R |
4.381009848694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778s2 |
Quadratic twists by: -3 |