Atkin-Lehner |
3- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921w |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
-114940649241 = -1 · 36 · 116 · 89 |
Discriminant |
Eigenvalues |
-1 3- 1 4 11- -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,21948] |
[a1,a2,a3,a4,a6] |
j |
-117649/89 |
j-invariant |
L |
1.9331760624327 |
L(r)(E,1)/r! |
Ω |
0.96658821675887 |
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 |
10769a1 801d1 |
Quadratic twists by: -3 -11 |