Atkin-Lehner |
3- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775m |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-87969512109375 = -1 · 37 · 58 · 13 · 892 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11099,33323] |
[a1,a2,a3,a4,a6] |
j |
9678576503231/5630048775 |
j-invariant |
L |
5.1038962004552 |
L(r)(E,1)/r! |
Ω |
0.36456401780093 |
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 |
17355b1 |
Quadratic twists by: 5 |