Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722eo |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
119841201172134288 = 24 · 33 · 76 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-516935,142210863] |
[a1,a2,a3,a4,a6] |
j |
2714704875/21296 |
j-invariant |
L |
5.3298740219192 |
L(r)(E,1)/r! |
Ω |
0.33311715697943 |
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 |
106722p3 2178g1 9702i1 |
Quadratic twists by: -3 -7 -11 |