Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450ck |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10644480 |
Modular degree for the optimal curve |
Δ |
8.038951777856E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-176968512,906167320416] |
[a1,a2,a3,a4,a6] |
Generators |
[372451019115:-161413144521:48627125] |
Generators of the group modulo torsion |
j |
1296633753003985/17006112 |
j-invariant |
L |
4.2078050093953 |
L(r)(E,1)/r! |
Ω |
0.11956652590726 |
Real period |
R |
17.596082923154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150cx1 54450he1 54450fy1 |
Quadratic twists by: -3 5 -11 |