Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bu |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4.7297113568138E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5235782,-11433193936] |
[a1,a2,a3,a4,a6] |
Generators |
[3642:131581:1] |
Generators of the group modulo torsion |
j |
-185077034913624841/551466161890875 |
j-invariant |
L |
3.4864715057341 |
L(r)(E,1)/r! |
Ω |
0.046142014738163 |
Real period |
R |
1.5741580303396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085n4 121275ed3 3465k4 |
Quadratic twists by: -3 5 -7 |