Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660k |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-81943041620000000 = -1 · 28 · 57 · 114 · 234 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44004,13291720] |
[a1,a2,a3,a4,a6] |
j |
2514082961456/21862578125 |
j-invariant |
L |
1.0014945736812 |
L(r)(E,1)/r! |
Ω |
0.25037364384623 |
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 |
55660j1 |
Quadratic twists by: -11 |