Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470h |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5458764960000 = 28 · 34 · 54 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4407,-8811] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:276:1] |
Generators of the group modulo torsion |
j |
9469059237951481/5458764960000 |
j-invariant |
L |
2.5064885621142 |
L(r)(E,1)/r! |
Ω |
0.63851829134113 |
Real period |
R |
0.98136913072984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58410bc2 97350ct2 |
Quadratic twists by: -3 5 |