Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400r |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
38988000000000 = 211 · 33 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-143208,-20904912] |
[a1,a2,a3,a4,a6] |
Generators |
[3882:39273:8] |
Generators of the group modulo torsion |
j |
81202348906/9747 |
j-invariant |
L |
5.3089991921485 |
L(r)(E,1)/r! |
Ω |
0.24542037202282 |
Real period |
R |
7.2107559074935 |
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 |
22800t2 91200cj2 34200cy2 11400be2 |
Quadratic twists by: -4 8 -3 5 |