Atkin-Lehner |
2- 3- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650ci |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
4214592 |
Modular degree for the optimal curve |
Δ |
3.4288499091244E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -3 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2316763,-1024157383] |
[a1,a2,a3,a4,a6] |
j |
2200333608985618290625/548615985459904728 |
j-invariant |
L |
6.7288206466332 |
L(r)(E,1)/r! |
Ω |
0.124607789839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58650n1 |
Quadratic twists by: 5 |