Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bo |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
390 |
Product of Tamagawa factors cp |
deg |
5241600 |
Modular degree for the optimal curve |
Δ |
-2.1270942530823E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14899342,-1546871727] |
[a1,a2,a3,a4,a6] |
Generators |
[27839:4675233:1] |
Generators of the group modulo torsion |
j |
501761665665585729328679/291782476417323711456 |
j-invariant |
L |
8.5376390679067 |
L(r)(E,1)/r! |
Ω |
0.059117045062506 |
Real period |
R |
0.37030575872511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926i1 |
Quadratic twists by: -3 |