Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640dv |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
689472 |
Modular degree for the optimal curve |
Δ |
-14857220948266800 = -1 · 24 · 37 · 52 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9145,5871050] |
[a1,a2,a3,a4,a6] |
j |
-311296/54675 |
j-invariant |
L |
4.5116789531865 |
L(r)(E,1)/r! |
Ω |
0.32226278154813 |
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 |
21660k1 86640cn1 |
Quadratic twists by: -4 -19 |