Atkin-Lehner |
3- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
16353b |
Isogeny class |
Conductor |
16353 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-321876099 = -1 · 311 · 23 · 79 |
Discriminant |
Eigenvalues |
2 3- 3 0 1 -6 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,159,-387] |
[a1,a2,a3,a4,a6] |
Generators |
[34:149:8] |
Generators of the group modulo torsion |
j |
609800192/441531 |
j-invariant |
L |
11.419484660923 |
L(r)(E,1)/r! |
Ω |
0.96439794516766 |
Real period |
R |
2.9602625965098 |
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 |
5451b1 |
Quadratic twists by: -3 |