Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600hp |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
458441856000 = 210 · 36 · 53 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 2 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32573,-2251683] |
[a1,a2,a3,a4,a6] |
j |
29860725364736/3581577 |
j-invariant |
L |
2.1322512028537 |
L(r)(E,1)/r! |
Ω |
0.35537521009343 |
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 |
81600fb1 20400bq1 81600jl1 |
Quadratic twists by: -4 8 5 |