Atkin-Lehner |
2- 3- 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85410w |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
32725900584000 = 26 · 310 · 53 · 13 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22928,1313331] |
[a1,a2,a3,a4,a6] |
j |
1828424133914041/44891496000 |
j-invariant |
L |
3.9316895782112 |
L(r)(E,1)/r! |
Ω |
0.65528161023184 |
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 |
28470e1 |
Quadratic twists by: -3 |