Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595k |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3833690741408025 = 38 · 52 · 174 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39465,-471744] |
[a1,a2,a3,a4,a6] |
Generators |
[2292:108150:1] |
Generators of the group modulo torsion |
j |
9324782168714641/5258835036225 |
j-invariant |
L |
5.5132552761917 |
L(r)(E,1)/r! |
Ω |
0.36482663311915 |
Real period |
R |
3.7779967083647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5865g3 87975y3 |
Quadratic twists by: -3 5 |