Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800dk |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20793600000000 = 214 · 32 · 58 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76008,-8088012] |
[a1,a2,a3,a4,a6] |
j |
758800078561/324900 |
j-invariant |
L |
4.6006097470371 |
L(r)(E,1)/r! |
Ω |
0.28753810918982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2850b2 91200fm2 68400fs2 4560u2 |
Quadratic twists by: -4 8 -3 5 |