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 |
-247479550349795415 = -1 · 37 · 5 · 172 · 238 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,155610,-3866049] |
[a1,a2,a3,a4,a6] |
Generators |
[42:1635:1] |
Generators of the group modulo torsion |
j |
571619613636358559/339478121193135 |
j-invariant |
L |
5.5132552761917 |
L(r)(E,1)/r! |
Ω |
0.18241331655958 |
Real period |
R |
1.8889983541823 |
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 |
5865g6 87975y5 |
Quadratic twists by: -3 5 |