Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fx |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
Δ |
-98725372881408000 = -1 · 212 · 39 · 53 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-190157,35363189] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:7216:1] |
Generators of the group modulo torsion |
j |
-36522255042169/4741632000 |
j-invariant |
L |
13.550253690738 |
L(r)(E,1)/r! |
Ω |
0.32652467991821 |
Real period |
R |
0.28818337376594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009223 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35490bf2 106470bb2 |
Quadratic twists by: -3 13 |