Atkin-Lehner |
2+ 3+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930f |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
477360 |
Modular degree for the optimal curve |
Δ |
-1117471608636088320 = -1 · 213 · 317 · 5 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-927937,347405941] |
[a1,a2,a3,a4,a6] |
j |
-88364926184123176623001/1117471608636088320 |
j-invariant |
L |
0.27612814526395 |
L(r)(E,1)/r! |
Ω |
0.27612814526398 |
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 |
65790cf1 109650de1 |
Quadratic twists by: -3 5 |