Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562s |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2645760 |
Modular degree for the optimal curve |
Δ |
-4.3299497851628E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -3 -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4159251,3281260711] |
[a1,a2,a3,a4,a6] |
Generators |
[40035:501052:27] |
Generators of the group modulo torsion |
j |
-3307949/18 |
j-invariant |
L |
2.6150823532511 |
L(r)(E,1)/r! |
Ω |
0.20395028113162 |
Real period |
R |
3.2055390396276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854p1 50562bl1 |
Quadratic twists by: -3 53 |