Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400j |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
116281250000 = 24 · 59 · 612 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2583,48662] |
[a1,a2,a3,a4,a6] |
j |
61011968/3721 |
j-invariant |
L |
4.1329250398193 |
L(r)(E,1)/r! |
Ω |
1.0332312599548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12200l1 97600cu1 24400k1 |
Quadratic twists by: -4 8 5 |