Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775bu |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
-17564628046875 = -1 · 3 · 57 · 78 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 1 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5717,-112031] |
[a1,a2,a3,a4,a6] |
j |
229376/195 |
j-invariant |
L |
2.2899164597146 |
L(r)(E,1)/r! |
Ω |
0.38165274327385 |
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 |
9555a1 47775m1 |
Quadratic twists by: 5 -7 |