Atkin-Lehner |
11- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
88451g |
Isogeny class |
Conductor |
88451 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-374258205299 = -1 · 116 · 173 · 43 |
Discriminant |
Eigenvalues |
-1 1 -1 0 11- -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-65161,-6407708] |
[a1,a2,a3,a4,a6] |
j |
-17271547035049/211259 |
j-invariant |
L |
0.89644465401288 |
L(r)(E,1)/r! |
Ω |
0.14940745581149 |
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 |
731a1 |
Quadratic twists by: -11 |