Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dm |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
192 |
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] |
Generators |
[-87:600:1] |
Generators of the group modulo torsion |
j |
768400132/263169 |
j-invariant |
L |
8.558083042614 |
L(r)(E,1)/r! |
Ω |
0.41669019312032 |
Real period |
R |
1.7115199711176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994254 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91200ey2 11400u2 3648i2 |
Quadratic twists by: -4 8 5 |