Atkin-Lehner |
2- 3- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
19716f |
Isogeny class |
Conductor |
19716 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-5051516868156672 = -1 · 28 · 318 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-203108,35330052] |
[a1,a2,a3,a4,a6] |
j |
-3619653295779250000/19732487766237 |
j-invariant |
L |
1.3013716532931 |
L(r)(E,1)/r! |
Ω |
0.43379055109769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
78864h2 59148m2 |
Quadratic twists by: -4 -3 |