Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595l |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5636757568359375 = 310 · 512 · 17 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45135,-746334] |
[a1,a2,a3,a4,a6] |
Generators |
[431790:7538397:1000] |
Generators of the group modulo torsion |
j |
13948963460325361/7732177734375 |
j-invariant |
L |
6.0946758780464 |
L(r)(E,1)/r! |
Ω |
0.35096925491895 |
Real period |
R |
8.6826350066674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5865h3 87975ba4 |
Quadratic twists by: -3 5 |