Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134cm |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
451791224785152 = 28 · 37 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47384,3832128] |
[a1,a2,a3,a4,a6] |
Generators |
[172:-968:1] [-206:2308:1] |
Generators of the group modulo torsion |
j |
14580432307/559872 |
j-invariant |
L |
17.578366553072 |
L(r)(E,1)/r! |
Ω |
0.52335685959456 |
Real period |
R |
0.29989040650633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2166f1 106134f1 |
Quadratic twists by: -7 -19 |