Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bb |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-651728 = -1 · 24 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86583,9798905] |
[a1,a2,a3,a4,a6] |
j |
-135695748891654625/1232 |
j-invariant |
L |
5.7288146140519 |
L(r)(E,1)/r! |
Ω |
1.4322036788986 |
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 |
81466bi1 |
Quadratic twists by: -23 |