Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19520n |
Isogeny class |
Conductor |
19520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1905152000 = 212 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2480665,1503008775] |
[a1,a2,a3,a4,a6] |
Generators |
[765:7320:1] |
Generators of the group modulo torsion |
j |
412162330287989215936/465125 |
j-invariant |
L |
3.3324749483958 |
L(r)(E,1)/r! |
Ω |
0.65896424768861 |
Real period |
R |
1.6857135826335 |
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 |
19520m2 9760b1 97600q2 |
Quadratic twists by: -4 8 5 |