Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776y |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-1941093941248 = -1 · 216 · 7 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1407,-64351] |
[a1,a2,a3,a4,a6] |
j |
4696965500/29618743 |
j-invariant |
L |
3.3211175090079 |
L(r)(E,1)/r! |
Ω |
0.4151396969149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83776m1 20944b1 |
Quadratic twists by: -4 8 |