Atkin-Lehner |
3- 7+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17157j |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
748351463153171409 = 34 · 712 · 192 · 432 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-288357699,-1884737960136] |
[a1,a2,a3,a4,a6] |
j |
2651663228988257384476020275377/748351463153171409 |
j-invariant |
L |
1.1723752599495 |
L(r)(E,1)/r! |
Ω |
0.036636726873422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51471j4 120099e4 |
Quadratic twists by: -3 -7 |