Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722fg |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-21524119848 = -1 · 23 · 33 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- -1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,16195] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:167:1] [-5:-145:1] |
Generators of the group modulo torsion |
j |
-395307/56 |
j-invariant |
L |
13.612220648855 |
L(r)(E,1)/r! |
Ω |
1.1697360158216 |
Real period |
R |
0.48487509384115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722bg1 15246bd1 106722bh1 |
Quadratic twists by: -3 -7 -11 |