Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722dr |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-7686873449566730496 = -1 · 28 · 316 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 3 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-508041,193052173] |
[a1,a2,a3,a4,a6] |
j |
-1397395501513/740710656 |
j-invariant |
L |
1.7432064442836 |
L(r)(E,1)/r! |
Ω |
0.21790082978466 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574ce1 15246w1 106722hj1 |
Quadratic twists by: -3 -7 -11 |