Atkin-Lehner |
5- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47275h |
Isogeny class |
Conductor |
47275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-236375 = -1 · 53 · 31 · 61 |
Discriminant |
Eigenvalues |
-1 3 5- -1 4 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15,-8] |
[a1,a2,a3,a4,a6] |
j |
3176523/1891 |
j-invariant |
L |
3.6588079317295 |
L(r)(E,1)/r! |
Ω |
1.8294039661279 |
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 |
47275g1 |
Quadratic twists by: 5 |