Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200io |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-89653248000000000 = -1 · 228 · 32 · 59 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252833,-51093537] |
[a1,a2,a3,a4,a6] |
j |
-3491055413/175104 |
j-invariant |
L |
3.8211676791532 |
L(r)(E,1)/r! |
Ω |
0.10614354806025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200bz1 22800co1 91200gp1 |
Quadratic twists by: -4 8 5 |