Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16080a |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
219860457891840 = 211 · 314 · 5 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49056,4137120] |
[a1,a2,a3,a4,a6] |
Generators |
[106:342:1] |
Generators of the group modulo torsion |
j |
6374982726455618/107353739205 |
j-invariant |
L |
4.48068628285 |
L(r)(E,1)/r! |
Ω |
0.56112046331977 |
Real period |
R |
3.9926242008185 |
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 |
8040j2 64320ct2 48240u2 80400bf2 |
Quadratic twists by: -4 8 -3 5 |