Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775cp |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
50957136734765625 = 38 · 58 · 76 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-140901,-17229677] |
[a1,a2,a3,a4,a6] |
j |
168288035761/27720225 |
j-invariant |
L |
3.9867381697101 |
L(r)(E,1)/r! |
Ω |
0.24917113559875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9555e2 975a2 |
Quadratic twists by: 5 -7 |