Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064k |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1923906816 = 28 · 36 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54972,4942620] |
[a1,a2,a3,a4,a6] |
Generators |
[138:-60:1] |
Generators of the group modulo torsion |
j |
71765590151731408/7515261 |
j-invariant |
L |
8.2852344595784 |
L(r)(E,1)/r! |
Ω |
1.1403250497726 |
Real period |
R |
1.2109463088661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032m2 114192i2 |
Quadratic twists by: -4 -3 |