Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470u |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4440098765520 = 24 · 32 · 5 · 116 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5476,-120811] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:135:1] |
Generators of the group modulo torsion |
j |
18160131429546049/4440098765520 |
j-invariant |
L |
5.5830095702448 |
L(r)(E,1)/r! |
Ω |
0.56488704672872 |
Real period |
R |
0.41180869716759 |
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 |
58410p2 97350y2 |
Quadratic twists by: -3 5 |