Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bo |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
3130410339717120 = 212 · 32 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36581,89421] |
[a1,a2,a3,a4,a6] |
j |
77824/45 |
j-invariant |
L |
3.0451750969003 |
L(r)(E,1)/r! |
Ω |
0.38064686827177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5415g1 86640dj1 |
Quadratic twists by: -4 -19 |