Atkin-Lehner |
2+ 5+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85550a |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
11911982000000 = 27 · 56 · 29 · 593 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 3 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25151,-1528302] |
[a1,a2,a3,a4,a6] |
Generators |
[-5772:8729:64] |
Generators of the group modulo torsion |
j |
112601619161569/762366848 |
j-invariant |
L |
3.9346973579036 |
L(r)(E,1)/r! |
Ω |
0.37926257799432 |
Real period |
R |
5.1872997561041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422e1 |
Quadratic twists by: 5 |