Atkin-Lehner |
2- 3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670q |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
165 |
Product of Tamagawa factors cp |
deg |
1663200 |
Modular degree for the optimal curve |
Δ |
5.677121709267E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 5 -1 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8626525,-9056971213] |
[a1,a2,a3,a4,a6] |
Generators |
[-1385:16068:1] |
Generators of the group modulo torsion |
j |
70995589731296149284939601/5677121709267033784320 |
j-invariant |
L |
6.9705165900902 |
L(r)(E,1)/r! |
Ω |
0.088539806912595 |
Real period |
R |
0.47713629117308 |
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 |
53010o1 88350bi1 |
Quadratic twists by: -3 5 |