Atkin-Lehner |
2- 3- 11+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86526v |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
108288 |
Modular degree for the optimal curve |
Δ |
-59208703488 = -1 · 29 · 37 · 112 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,11715] |
[a1,a2,a3,a4,a6] |
Generators |
[53:369:1] [-19:81:1] |
Generators of the group modulo torsion |
j |
-4826809/81219072 |
j-invariant |
L |
11.659343630213 |
L(r)(E,1)/r! |
Ω |
0.88833696667708 |
Real period |
R |
0.18229043062236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842d1 |
Quadratic twists by: -3 |