Atkin-Lehner |
3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575bg |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11546539875 = 39 · 53 · 13 · 192 |
Discriminant |
Eigenvalues |
1 3- 5- -2 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84222,-9386739] |
[a1,a2,a3,a4,a6] |
Generators |
[5934180:143646933:8000] |
Generators of the group modulo torsion |
j |
725046269299253/126711 |
j-invariant |
L |
6.5607691086184 |
L(r)(E,1)/r! |
Ω |
0.28024826329702 |
Real period |
R |
11.705280581509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18525s2 55575bc2 |
Quadratic twists by: -3 5 |