Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640br |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
1501297920 = 28 · 32 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 1 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22141,-1260719] |
[a1,a2,a3,a4,a6] |
j |
35981615104/45 |
j-invariant |
L |
1.565519993072 |
L(r)(E,1)/r! |
Ω |
0.3913800142495 |
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 |
21660r1 86640dm1 |
Quadratic twists by: -4 -19 |