Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bt |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
-36684496168560 = -1 · 24 · 33 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2286,295191] |
[a1,a2,a3,a4,a6] |
j |
-4864/135 |
j-invariant |
L |
0.54398565033548 |
L(r)(E,1)/r! |
Ω |
0.54398559647425 |
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 |
21660s1 86640do1 |
Quadratic twists by: -4 -19 |