Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bq |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-8564802689466040320 = -1 · 216 · 34 · 5 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1305496,-590710544] |
[a1,a2,a3,a4,a6] |
j |
-186169411/6480 |
j-invariant |
L |
0.28190188749845 |
L(r)(E,1)/r! |
Ω |
0.070475473443389 |
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 |
10830j1 86640cy1 |
Quadratic twists by: -4 -19 |