Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150v |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.71706640625E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52501,199415648] |
[a1,a2,a3,a4,a6] |
j |
-1024222994222401/1098922500000000 |
j-invariant |
L |
2.8285404907633 |
L(r)(E,1)/r! |
Ω |
0.17678378067262 |
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 |
99450cw2 6630q2 |
Quadratic twists by: -3 5 |