Atkin-Lehner |
5- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47275g |
Isogeny class |
Conductor |
47275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3693359375 = -1 · 59 · 31 · 61 |
Discriminant |
Eigenvalues |
1 -3 5- 1 4 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,383,-584] |
[a1,a2,a3,a4,a6] |
j |
3176523/1891 |
j-invariant |
L |
1.6362686505592 |
L(r)(E,1)/r! |
Ω |
0.81813432531395 |
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 |
47275h1 |
Quadratic twists by: 5 |