Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450dv |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5116811132812500000 = 25 · 39 · 514 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1363880,603676747] |
[a1,a2,a3,a4,a6] |
j |
685429074513/12500000 |
j-invariant |
L |
4.8517334894001 |
L(r)(E,1)/r! |
Ω |
0.24258667455628 |
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 |
54450c2 10890a2 54450d2 |
Quadratic twists by: -3 5 -11 |