Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722et |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
-23258108323984842 = -1 · 2 · 39 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,70036,-1733399] |
[a1,a2,a3,a4,a6] |
j |
3267/2 |
j-invariant |
L |
3.5194488047515 |
L(r)(E,1)/r! |
Ω |
0.21996554766604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ba1 106722ew1 106722t1 |
Quadratic twists by: -3 -7 -11 |