Atkin-Lehner |
3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325v |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-1.2728035968642E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 11+ 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-861755,624265872] |
[a1,a2,a3,a4,a6] |
Generators |
[-496:30735:1] |
Generators of the group modulo torsion |
j |
-6213368639092321/11174133086325 |
j-invariant |
L |
3.0640051743329 |
L(r)(E,1)/r! |
Ω |
0.16566528611146 |
Real period |
R |
4.6237887650886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38775c1 23265k1 |
Quadratic twists by: -3 5 |