Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
19404z |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
645576001475328 = 28 · 311 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-569919,165598342] |
[a1,a2,a3,a4,a6] |
Generators |
[431:162:1] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
5.7186692250962 |
L(r)(E,1)/r! |
Ω |
0.47765461616085 |
Real period |
R |
0.9976994938065 |
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 |
77616fi2 6468m2 396a2 |
Quadratic twists by: -4 -3 -7 |