Atkin-Lehner |
3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925m |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
198846140625 = 37 · 56 · 11 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20948405,36909330972] |
[a1,a2,a3,a4,a6] |
j |
89254274298475942657/17457 |
j-invariant |
L |
1.6249752535828 |
L(r)(E,1)/r! |
Ω |
0.40624381300853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18975e5 2277b5 |
Quadratic twists by: -3 5 |