Atkin-Lehner |
2+ 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394a |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
25477688251483776 = 27 · 33 · 7 · 118 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98133,-9042579] |
[a1,a2,a3,a4,a6] |
j |
487567078009/118855296 |
j-invariant |
L |
0.27453372696902 |
L(r)(E,1)/r! |
Ω |
0.27453364288374 |
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 |
86394ch1 |
Quadratic twists by: -11 |