Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16456g |
Isogeny class |
Conductor |
16456 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
16850322917648 = 24 · 118 · 173 |
Discriminant |
Eigenvalues |
2+ 0 0 4 11- -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33275,2327919] |
[a1,a2,a3,a4,a6] |
Generators |
[363:6171:1] |
Generators of the group modulo torsion |
j |
1188000000/4913 |
j-invariant |
L |
5.192942303845 |
L(r)(E,1)/r! |
Ω |
0.6973777376223 |
Real period |
R |
0.41368799015822 |
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 |
32912j1 16456i1 |
Quadratic twists by: -4 -11 |