Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41140l |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120384 |
Modular degree for the optimal curve |
Δ |
-256544708780800 = -1 · 28 · 52 · 119 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10648,-644204] |
[a1,a2,a3,a4,a6] |
j |
221184/425 |
j-invariant |
L |
1.1558948329541 |
L(r)(E,1)/r! |
Ω |
0.28897370822762 |
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 |
41140k1 |
Quadratic twists by: -11 |