Atkin-Lehner |
2- 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202u |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2.578217355441E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-977891,281058437] |
[a1,a2,a3,a4,a6] |
Generators |
[150174:-20621893:8] |
Generators of the group modulo torsion |
j |
141862338573040916713/35366493215926158 |
j-invariant |
L |
8.056959303702 |
L(r)(E,1)/r! |
Ω |
0.19860730361526 |
Real period |
R |
10.141821520209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734j4 |
Quadratic twists by: -3 |