Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cw |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4896000000000000 = 217 · 32 · 512 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60033,-4571937] |
[a1,a2,a3,a4,a6] |
j |
11683450802/2390625 |
j-invariant |
L |
2.4750855037573 |
L(r)(E,1)/r! |
Ω |
0.30938568739708 |
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 |
81600fm2 10200x2 16320g2 |
Quadratic twists by: -4 8 5 |