Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595a |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
543007645751953125 = 39 · 512 · 173 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 0 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-402138,91527968] |
[a1,a2,a3,a4,a6] |
j |
365390928210198528/27587646484375 |
j-invariant |
L |
1.1438547781573 |
L(r)(E,1)/r! |
Ω |
0.28596369453933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17595i1 87975g2 |
Quadratic twists by: -3 5 |