Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778q |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-404326121472 = -1 · 216 · 37 · 7 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,819,29029] |
[a1,a2,a3,a4,a6] |
Generators |
[3:176:1] |
Generators of the group modulo torsion |
j |
83281698863/554631168 |
j-invariant |
L |
5.3781657509713 |
L(r)(E,1)/r! |
Ω |
0.68758366536886 |
Real period |
R |
3.9109173340424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926bg1 |
Quadratic twists by: -3 |