Atkin-Lehner |
2- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
99220c |
Isogeny class |
Conductor |
99220 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
247104 |
Modular degree for the optimal curve |
Δ |
281238851872000 = 28 · 53 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- -1 11- -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24845,1264943] |
[a1,a2,a3,a4,a6] |
j |
30908416/5125 |
j-invariant |
L |
1.572737461222 |
L(r)(E,1)/r! |
Ω |
0.52424580674083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
99220d1 |
Quadratic twists by: -11 |