Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400w |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
225281250000 = 24 · 34 · 59 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4083,-99162] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:27:1] |
Generators of the group modulo torsion |
j |
240945152/7209 |
j-invariant |
L |
4.850989728076 |
L(r)(E,1)/r! |
Ω |
0.59832986933618 |
Real period |
R |
2.026887665421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106800i1 53400f1 |
Quadratic twists by: -4 5 |