Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400a |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
74420000000 = 28 · 57 · 612 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 0 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1175,-8250] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:50:1] |
Generators of the group modulo torsion |
j |
44851536/18605 |
j-invariant |
L |
4.9930423503186 |
L(r)(E,1)/r! |
Ω |
0.84588672716564 |
Real period |
R |
1.4756829105976 |
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 |
12200g2 97600cb2 4880a2 |
Quadratic twists by: -4 8 5 |