Atkin-Lehner |
2+ 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290z |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3784704 |
Modular degree for the optimal curve |
Δ |
1.6324600319224E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10570995,-13082596875] |
[a1,a2,a3,a4,a6] |
j |
179202394806540142428721/2239314172733030400 |
j-invariant |
L |
1.0054953248074 |
L(r)(E,1)/r! |
Ω |
0.083791277026825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bp1 |
Quadratic twists by: -3 |