Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bm |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-187824620383027200 = -1 · 214 · 33 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208056,-41990544] |
[a1,a2,a3,a4,a6] |
j |
-14317849/2700 |
j-invariant |
L |
0.88511557655458 |
L(r)(E,1)/r! |
Ω |
0.11063944385847 |
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 |
10830i1 86640dh1 |
Quadratic twists by: -4 -19 |