Atkin-Lehner |
3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5445i |
Isogeny class |
Conductor |
5445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
128920790005425 = 37 · 52 · 119 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14724,-414045] |
[a1,a2,a3,a4,a6] |
Generators |
[1266:44187:1] |
Generators of the group modulo torsion |
j |
205379/75 |
j-invariant |
L |
4.7256579154503 |
L(r)(E,1)/r! |
Ω |
0.44665369681209 |
Real period |
R |
5.2900691846712 |
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 |
87120fb1 1815c1 27225be1 5445j1 |
Quadratic twists by: -4 -3 5 -11 |