Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800w |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
866400000000 = 211 · 3 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,7188] |
[a1,a2,a3,a4,a6] |
j |
48275138/27075 |
j-invariant |
L |
3.0710318802396 |
L(r)(E,1)/r! |
Ω |
0.7677579700599 |
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 |
11400e2 91200gb2 68400bk2 4560b2 |
Quadratic twists by: -4 8 -3 5 |