Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722dv |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
356403832468992 = 29 · 36 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-680829,216393029] |
[a1,a2,a3,a4,a6] |
j |
551516475321/5632 |
j-invariant |
L |
0.97342232756632 |
L(r)(E,1)/r! |
Ω |
0.48671125618288 |
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 |
11858bo1 106722by1 9702cf1 |
Quadratic twists by: -3 -7 -11 |