Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400ct |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5694624000 = 28 · 34 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1668,26532] |
[a1,a2,a3,a4,a6] |
Generators |
[12:90:1] [-42:144:1] |
Generators of the group modulo torsion |
j |
7304528/81 |
j-invariant |
L |
8.7301651479792 |
L(r)(E,1)/r! |
Ω |
1.356414200711 |
Real period |
R |
0.80452611234832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101400by1 101400z1 |
Quadratic twists by: 5 13 |