Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bp |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
108436382208 = 29 · 36 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52047,4583277] |
[a1,a2,a3,a4,a6] |
Generators |
[129:-6:1] |
Generators of the group modulo torsion |
j |
73622481625/512 |
j-invariant |
L |
3.9382858400788 |
L(r)(E,1)/r! |
Ω |
0.9449438563272 |
Real period |
R |
2.0838729367692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999546645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858z1 106722co1 106722fn1 |
Quadratic twists by: -3 -7 -11 |