Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800c |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
68400000000 = 210 · 32 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10008,388512] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:750:1] |
Generators of the group modulo torsion |
j |
6929294404/4275 |
j-invariant |
L |
4.0786102925678 |
L(r)(E,1)/r! |
Ω |
1.0862289875201 |
Real period |
R |
0.93870867455849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11400k2 91200id2 68400bj2 4560i2 |
Quadratic twists by: -4 8 -3 5 |