Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ff |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7050240000000000 = 219 · 34 · 510 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-297633,62467137] |
[a1,a2,a3,a4,a6] |
j |
711882749089/1721250 |
j-invariant |
L |
1.6828612422949 |
L(r)(E,1)/r! |
Ω |
0.42071532197411 |
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 |
81600co4 20400cy4 16320cz4 |
Quadratic twists by: -4 8 5 |