Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900bd |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
139968 |
Modular degree for the optimal curve |
Δ |
29141280000 = 28 · 32 · 54 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133,-37737] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:30:1] |
Generators of the group modulo torsion |
j |
6710886400/182133 |
j-invariant |
L |
7.5458873787827 |
L(r)(E,1)/r! |
Ω |
0.70364653173844 |
Real period |
R |
0.59577635378892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123900j1 |
Quadratic twists by: 5 |