Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bj |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-176503035225600 = -1 · 29 · 315 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 -6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36729,-2774547] |
[a1,a2,a3,a4,a6] |
j |
-7821800952529/251942400 |
j-invariant |
L |
1.3768417216011 |
L(r)(E,1)/r! |
Ω |
0.17210520731974 |
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 |
28830bn1 86490z1 |
Quadratic twists by: -3 -31 |