Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600fb |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1334711015424000 = -1 · 214 · 33 · 53 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29873,2643183] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-867:1] [-173:1632:1] |
Generators of the group modulo torsion |
j |
-1439609866256/651714363 |
j-invariant |
L |
11.467793707143 |
L(r)(E,1)/r! |
Ω |
0.45067244638105 |
Real period |
R |
0.70683226311168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600hp2 10200n2 81600br2 |
Quadratic twists by: -4 8 5 |