Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200cp |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8367427584000000000 = -1 · 221 · 32 · 59 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 7 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27408,-139192812] |
[a1,a2,a3,a4,a6] |
j |
-35578826569/130741056000 |
j-invariant |
L |
5.0673329064811 |
L(r)(E,1)/r! |
Ω |
0.1055694357755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150t2 14640u2 |
Quadratic twists by: -4 5 |