Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720l |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5820877209600 = 215 · 39 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 6 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-415692,-103158576] |
[a1,a2,a3,a4,a6] |
Generators |
[103145:1344383:125] |
Generators of the group modulo torsion |
j |
12316788514584/9025 |
j-invariant |
L |
6.6443400547714 |
L(r)(E,1)/r! |
Ω |
0.18802112942759 |
Real period |
R |
8.8345656615209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720h2 27360q2 54720e2 |
Quadratic twists by: -4 8 -3 |