Atkin-Lehner |
3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
35145f |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
911987009033203125 = 314 · 512 · 11 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-274793,31100532] |
[a1,a2,a3,a4,a6] |
Generators |
[-363:9287:1] |
Generators of the group modulo torsion |
j |
3147833105050353481/1251010986328125 |
j-invariant |
L |
3.3624486744101 |
L(r)(E,1)/r! |
Ω |
0.25431209696364 |
Real period |
R |
6.6108704905429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715d4 |
Quadratic twists by: -3 |