Atkin-Lehner |
2- 3- 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
104550cn |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
4571916617784375000 = 23 · 311 · 58 · 173 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-415013,-2584983] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:-9101:1] |
Generators of the group modulo torsion |
j |
20237126459760625/11704106541528 |
j-invariant |
L |
14.502240725914 |
L(r)(E,1)/r! |
Ω |
0.20594580058618 |
Real period |
R |
0.3556452214375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550j1 |
Quadratic twists by: 5 |