Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800u |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
40389516000000000 = 211 · 312 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2539408,1556691188] |
[a1,a2,a3,a4,a6] |
j |
56594125707224978/1262172375 |
j-invariant |
L |
4.024286640008 |
L(r)(E,1)/r! |
Ω |
0.33535722000067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11400y3 91200fr4 68400bf4 4560a4 |
Quadratic twists by: -4 8 -3 5 |