Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450dp |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
7.0902792243113E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36563742,-85088819084] |
[a1,a2,a3,a4,a6] |
j |
1296633753003985/17006112 |
j-invariant |
L |
1.1051207717613 |
L(r)(E,1)/r! |
Ω |
0.061395598442645 |
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 |
18150cl1 54450fy1 54450he1 |
Quadratic twists by: -3 5 -11 |