Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110bo |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5816777541128190 = 2 · 38 · 5 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1969332296,33636904645259] |
[a1,a2,a3,a4,a6] |
Generators |
[5118839376250706:-2570164137420077:199791235736] |
Generators of the group modulo torsion |
j |
7179471593960193209684686321/49441793310 |
j-invariant |
L |
5.9471226103354 |
L(r)(E,1)/r! |
Ω |
0.14253564259466 |
Real period |
R |
20.861878832818 |
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 |
57330ce8 95550ej8 2730bd7 |
Quadratic twists by: -3 5 -7 |