Atkin-Lehner |
3- 7+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17157j |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
865073097 = 32 · 76 · 19 · 43 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4613723184,-120622076035065] |
[a1,a2,a3,a4,a6] |
j |
10861212583728923979630082266913537/865073097 |
j-invariant |
L |
1.1723752599495 |
L(r)(E,1)/r! |
Ω |
0.018318363436711 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51471j6 120099e6 |
Quadratic twists by: -3 -7 |