Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776s |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
679936 |
Modular degree for the optimal curve |
Δ |
-28419556393811968 = -1 · 216 · 7 · 118 · 172 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153473,-24573185] |
[a1,a2,a3,a4,a6] |
j |
-6100178719130500/433648016263 |
j-invariant |
L |
0.48044876006153 |
L(r)(E,1)/r! |
Ω |
0.12011218805022 |
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 |
83776o1 20944c1 |
Quadratic twists by: -4 8 |