Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17028r |
Isogeny class |
Conductor |
17028 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
108878926892254992 = 24 · 312 · 115 · 433 |
Discriminant |
Eigenvalues |
2- 3- 0 5 11- -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4258065,-3381907763] |
[a1,a2,a3,a4,a6] |
Generators |
[-32172:5203:27] |
Generators of the group modulo torsion |
j |
732003337727529952000/9334613073753 |
j-invariant |
L |
5.7878289149368 |
L(r)(E,1)/r! |
Ω |
0.10509857202136 |
Real period |
R |
1.8356827004147 |
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 |
68112bm1 5676e1 |
Quadratic twists by: -4 -3 |