Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450eo |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
72044700750000000 = 27 · 39 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 7 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-331805,-72339803] |
[a1,a2,a3,a4,a6] |
j |
7177599/128 |
j-invariant |
L |
5.5757974198882 |
L(r)(E,1)/r! |
Ω |
0.19913562209497 |
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 |
54450v1 54450x1 54450w1 |
Quadratic twists by: -3 5 -11 |