Atkin-Lehner |
2- 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892w |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
132188534016 = 28 · 3 · 77 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3789,86799] |
[a1,a2,a3,a4,a6] |
j |
199794688/4389 |
j-invariant |
L |
6.2312423996902 |
L(r)(E,1)/r! |
Ω |
1.0385402461015 |
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 |
17556a1 |
Quadratic twists by: -7 |