Atkin-Lehner |
3- 5- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
81765l |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-6622965 = -1 · 36 · 5 · 23 · 79 |
Discriminant |
Eigenvalues |
1 3- 5- 1 3 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-122] |
[a1,a2,a3,a4,a6] |
j |
-117649/9085 |
j-invariant |
L |
2.0931250391642 |
L(r)(E,1)/r! |
Ω |
1.0465625103457 |
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 |
9085a1 |
Quadratic twists by: -3 |