Atkin-Lehner |
2- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784s |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
131839557632 = 222 · 17 · 432 |
Discriminant |
Eigenvalues |
2- 0 -4 0 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3692,84560] |
[a1,a2,a3,a4,a6] |
Generators |
[16:172:1] [28:56:1] |
Generators of the group modulo torsion |
j |
21230922609/502928 |
j-invariant |
L |
6.9736917498092 |
L(r)(E,1)/r! |
Ω |
1.0379383088764 |
Real period |
R |
3.3593960691929 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46784f1 11696j1 |
Quadratic twists by: -4 8 |