Atkin-Lehner |
3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449v |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
-304317292534477803 = -1 · 37 · 78 · 176 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ -2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-297381,-67827650] |
[a1,a2,a3,a4,a6] |
Generators |
[1666:63724:1] [784:13450:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
5.5404549196753 |
L(r)(E,1)/r! |
Ω |
0.1016200203183 |
Real period |
R |
2.2717205492243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483c1 127449bq1 441e1 |
Quadratic twists by: -3 -7 17 |