Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5445i |
Isogeny class |
Conductor |
5445 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9669059250406875 = -1 · 38 · 54 · 119 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45171,-2965572] |
[a1,a2,a3,a4,a6] |
Generators |
[72:774:1] |
Generators of the group modulo torsion |
j |
5929741/5625 |
j-invariant |
L |
4.7256579154503 |
L(r)(E,1)/r! |
Ω |
0.22332684840605 |
Real period |
R |
2.6450345923356 |
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 |
87120fb2 1815c2 27225be2 5445j2 |
Quadratic twists by: -4 -3 5 -11 |