Atkin-Lehner |
2- 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bu |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6856704 |
Modular degree for the optimal curve |
Δ |
3.3753999410403E+20 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10475067,-13019210390] |
[a1,a2,a3,a4,a6] |
j |
42570295439507115769/113041461074148 |
j-invariant |
L |
1.0071888178019 |
L(r)(E,1)/r! |
Ω |
0.08393240404561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16218u1 43248bc1 |
Quadratic twists by: -4 -3 |