Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ey |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
269485056000000 = 216 · 36 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19233,662337] |
[a1,a2,a3,a4,a6] |
j |
768400132/263169 |
j-invariant |
L |
2.0261924470417 |
L(r)(E,1)/r! |
Ω |
0.50654812065284 |
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 |
91200dm2 22800bb2 3648bg2 |
Quadratic twists by: -4 8 5 |