Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595b |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
55603982925 = 39 · 52 · 173 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5+ 1 -4 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1323,-14641] |
[a1,a2,a3,a4,a6] |
j |
13011038208/2824975 |
j-invariant |
L |
3.2152874852825 |
L(r)(E,1)/r! |
Ω |
0.80382187132061 |
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 |
17595j1 87975i1 |
Quadratic twists by: -3 5 |