Atkin-Lehner |
2- 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19032p |
Isogeny class |
Conductor |
19032 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6581093246208 = 28 · 312 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14892,683568] |
[a1,a2,a3,a4,a6] |
Generators |
[42:366:1] |
Generators of the group modulo torsion |
j |
1426829211467728/25707395493 |
j-invariant |
L |
7.4951651676088 |
L(r)(E,1)/r! |
Ω |
0.75128301888999 |
Real period |
R |
0.41568695258383 |
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 |
38064d2 57096i2 |
Quadratic twists by: -4 -3 |