Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6936c |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3781681210368 = 210 · 32 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13968,-623844] |
[a1,a2,a3,a4,a6] |
Generators |
[138:240:1] |
Generators of the group modulo torsion |
j |
12194500/153 |
j-invariant |
L |
3.2852053525957 |
L(r)(E,1)/r! |
Ω |
0.43948390148552 |
Real period |
R |
3.7375718899956 |
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 |
13872k1 55488bd1 20808be1 408a1 |
Quadratic twists by: -4 8 -3 17 |