Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ej |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1360800 |
Modular degree for the optimal curve |
Δ |
-2205942470861976 = -1 · 23 · 33 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-552509,-157950691] |
[a1,a2,a3,a4,a6] |
Generators |
[989054193:-118811784160:68921] |
Generators of the group modulo torsion |
j |
-67645179/8 |
j-invariant |
L |
8.4140849741347 |
L(r)(E,1)/r! |
Ω |
0.087555150679163 |
Real period |
R |
16.016733279666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722k2 106722fe1 882a1 |
Quadratic twists by: -3 -7 -11 |