Atkin-Lehner |
2- 3- 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614bl |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
4.4504189529877E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28012178660,1804555029664775] |
[a1,a2,a3,a4,a6] |
Generators |
[1175745947:-611171845:12167] |
Generators of the group modulo torsion |
j |
3334547026413110709311601801381625/61048270960051212288 |
j-invariant |
L |
12.952877804109 |
L(r)(E,1)/r! |
Ω |
0.058749211560932 |
Real period |
R |
9.1865614391636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006132 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
32538h4 |
Quadratic twists by: -3 |