Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ff |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1065369600000000 = 220 · 32 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25633,179137] |
[a1,a2,a3,a4,a6] |
j |
454756609/260100 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
81600co2 20400cy2 16320cz2 |
Quadratic twists by: -4 8 5 |