Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200z |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2501381250000 = 24 · 38 · 58 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13383,-595512] |
[a1,a2,a3,a4,a6] |
Generators |
[1548:60750:1] |
Generators of the group modulo torsion |
j |
1060416772096/10005525 |
j-invariant |
L |
9.8621728371388 |
L(r)(E,1)/r! |
Ω |
0.44412562224418 |
Real period |
R |
2.775727277985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600w1 14640f1 |
Quadratic twists by: -4 5 |