Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640b |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
83957350400 = 215 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7628,256048] |
[a1,a2,a3,a4,a6] |
Generators |
[54:40:1] |
Generators of the group modulo torsion |
j |
1497979362888/2562175 |
j-invariant |
L |
3.8472205055762 |
L(r)(E,1)/r! |
Ω |
1.0796372299406 |
Real period |
R |
0.89085954033553 |
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 |
24640n4 12320c3 123200bk4 |
Quadratic twists by: -4 8 5 |