Atkin-Lehner |
2+ 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16434f |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-69869611152 = -1 · 24 · 314 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 11- 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7902,-268700] |
[a1,a2,a3,a4,a6] |
Generators |
[104:110:1] |
Generators of the group modulo torsion |
j |
-74857992198625/95843088 |
j-invariant |
L |
3.2933590981686 |
L(r)(E,1)/r! |
Ω |
0.25316250890431 |
Real period |
R |
3.252218419329 |
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 |
5478h1 |
Quadratic twists by: -3 |