Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722co |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
12757431930388992 = 29 · 36 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2550312,-1566963392] |
[a1,a2,a3,a4,a6] |
j |
73622481625/512 |
j-invariant |
L |
2.1504224794911 |
L(r)(E,1)/r! |
Ω |
0.11946794664292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858bj1 106722bp1 106722gj1 |
Quadratic twists by: -3 -7 -11 |