Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hp |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1039680000000 = 212 · 32 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6633,199863] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:600:1] |
Generators of the group modulo torsion |
j |
504358336/16245 |
j-invariant |
L |
9.1995856398482 |
L(r)(E,1)/r! |
Ω |
0.87050707833996 |
Real period |
R |
1.3210095968979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ga2 45600bd1 18240cd2 |
Quadratic twists by: -4 8 5 |