Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72200y |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
65160500000000 = 28 · 59 · 194 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 5 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12033,-323563] |
[a1,a2,a3,a4,a6] |
j |
369664/125 |
j-invariant |
L |
5.6195273389991 |
L(r)(E,1)/r! |
Ω |
0.46829394591343 |
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 |
14440a1 72200j1 |
Quadratic twists by: 5 -19 |