Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800bm |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
83700000000 = 28 · 33 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -3 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1500,-17500] |
[a1,a2,a3,a4,a6] |
j |
138240/31 |
j-invariant |
L |
3.1178065686341 |
L(r)(E,1)/r! |
Ω |
0.77945164205541 |
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 |
111600k1 55800i1 55800d1 |
Quadratic twists by: -4 -3 5 |