Atkin-Lehner |
2- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39050p |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3383377421875000 = -1 · 23 · 510 · 112 · 713 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11- -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1905013,-1012831469] |
[a1,a2,a3,a4,a6] |
Generators |
[97560394344280577210982:-1989569728003122998137111:54740499027622549128] |
Generators of the group modulo torsion |
j |
-78292022833065625/346457848 |
j-invariant |
L |
14.247190680156 |
L(r)(E,1)/r! |
Ω |
0.064253228834918 |
Real period |
R |
36.955835886889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39050k2 |
Quadratic twists by: 5 |