Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600co |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10263060480000000 = 219 · 3 · 57 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-265633,52380863] |
[a1,a2,a3,a4,a6] |
j |
506071034209/2505630 |
j-invariant |
L |
1.6354311103035 |
L(r)(E,1)/r! |
Ω |
0.40885777356525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600ff3 2550a4 16320r4 |
Quadratic twists by: -4 8 5 |