Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722dx |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-8236358916921229248 = -1 · 26 · 36 · 77 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1557474,-760380076] |
[a1,a2,a3,a4,a6] |
j |
-2749884201/54208 |
j-invariant |
L |
0.53994224823533 |
L(r)(E,1)/r! |
Ω |
0.067492725505381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11858be1 15246y1 9702cg1 |
Quadratic twists by: -3 -7 -11 |