Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bx |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1629473082546585600 = 222 · 316 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17729292,-28733214224] |
[a1,a2,a3,a4,a6] |
Generators |
[17724944453423904916:2011893957573267151440:1242331544072501] |
Generators of the group modulo torsion |
j |
3225005357698077121/8526675600 |
j-invariant |
L |
8.3448958038645 |
L(r)(E,1)/r! |
Ω |
0.073574407834511 |
Real period |
R |
28.355293809096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999441 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720fc2 1710g2 18240bd2 |
Quadratic twists by: -4 8 -3 |