Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920bs |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-967993336995840 = -1 · 213 · 318 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3603,1499218] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/324179010 |
j-invariant |
L |
3.2350844011385 |
L(r)(E,1)/r! |
Ω |
0.40438555012875 |
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 |
5490g1 14640bm1 |
Quadratic twists by: -4 -3 |