Atkin-Lehner |
2- 5+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17170k |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8757558500 = -1 · 22 · 53 · 17 · 1013 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3671,-86035] |
[a1,a2,a3,a4,a6] |
Generators |
[13322190:498209935:9261] |
Generators of the group modulo torsion |
j |
-5471221024697329/8757558500 |
j-invariant |
L |
7.995947901324 |
L(r)(E,1)/r! |
Ω |
0.30664167566111 |
Real period |
R |
13.037934070907 |
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 |
85850a2 |
Quadratic twists by: 5 |