Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450de |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-2339912338598463750 = -1 · 2 · 38 · 54 · 1111 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,135558,-71079134] |
[a1,a2,a3,a4,a6] |
j |
341297975/2898918 |
j-invariant |
L |
1.5383558835444 |
L(r)(E,1)/r! |
Ω |
0.12819632373012 |
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 |
18150cg1 54450fp2 4950bo1 |
Quadratic twists by: -3 5 -11 |