Atkin-Lehner |
3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bu |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
47797968077578125 = 39 · 57 · 11 · 414 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1789880,-921180378] |
[a1,a2,a3,a4,a6] |
j |
55673391220006321/4196255085 |
j-invariant |
L |
1.0442047253296 |
L(r)(E,1)/r! |
Ω |
0.13052555813122 |
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 |
33825d4 20295m3 |
Quadratic twists by: -3 5 |