Atkin-Lehner |
2- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050br |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
32706457784000000 = 29 · 56 · 7 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-465280,-121730653] |
[a1,a2,a3,a4,a6] |
Generators |
[-391:745:1] |
Generators of the group modulo torsion |
j |
712928482228623753/2093213298176 |
j-invariant |
L |
9.1406324062289 |
L(r)(E,1)/r! |
Ω |
0.18283009348102 |
Real period |
R |
1.3887563633212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2002a2 |
Quadratic twists by: 5 |