Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800bt |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7791187500000000 = 28 · 38 · 512 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86908,-8871188] |
[a1,a2,a3,a4,a6] |
j |
18148802937424/1947796875 |
j-invariant |
L |
0.55998050536486 |
L(r)(E,1)/r! |
Ω |
0.27999025268244 |
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 |
5700n2 91200ig2 68400em2 4560v2 |
Quadratic twists by: -4 8 -3 5 |