Atkin-Lehner |
2- 3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
65550ce |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
114581400000000 = 29 · 3 · 58 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-205938,-35984508] |
[a1,a2,a3,a4,a6] |
j |
61817763688666201/7333209600 |
j-invariant |
L |
8.0680951869551 |
L(r)(E,1)/r! |
Ω |
0.22411375508337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110e2 |
Quadratic twists by: 5 |