Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10512m |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
31388663808 = 216 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-795,-1334] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:54:1] |
Generators of the group modulo torsion |
j |
18609625/10512 |
j-invariant |
L |
4.9372258967633 |
L(r)(E,1)/r! |
Ω |
0.96894184407183 |
Real period |
R |
1.2738705441844 |
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 |
1314d1 42048bl1 3504t1 |
Quadratic twists by: -4 8 -3 |