Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6936a |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-887808 = -1 · 210 · 3 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -4 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-368,2844] |
[a1,a2,a3,a4,a6] |
Generators |
[10:8:1] |
Generators of the group modulo torsion |
j |
-18674500/3 |
j-invariant |
L |
3.3345718221789 |
L(r)(E,1)/r! |
Ω |
2.7133633741182 |
Real period |
R |
0.61447203385772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13872i1 55488z1 20808bb1 6936e1 |
Quadratic twists by: -4 8 -3 17 |