Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640bv |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5745600 |
Modular degree for the optimal curve |
Δ |
-6.4484465921297E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -6 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1472399,1009356976] |
[a1,a2,a3,a4,a6] |
j |
1299125682176/2373046875 |
j-invariant |
L |
0.66797037229374 |
L(r)(E,1)/r! |
Ω |
0.11132839968114 |
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 |
21660u1 86640dt1 |
Quadratic twists by: -4 -19 |