Atkin-Lehner |
3- 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
86775w |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144384 |
Modular degree for the optimal curve |
Δ |
101689453125 = 32 · 510 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 2 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-22783,1315969] |
[a1,a2,a3,a4,a6] |
j |
83705785974784/6508125 |
j-invariant |
L |
4.0496580517667 |
L(r)(E,1)/r! |
Ω |
1.0124145231707 |
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 |
17355a1 |
Quadratic twists by: 5 |