Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bu |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.5010732005248E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82426539,43841956678] |
[a1,a2,a3,a4,a6] |
Generators |
[60351080167986969429889678:-51041426459411890985488722990:84360595559999092433] |
Generators of the group modulo torsion |
j |
8594236719188066/4858291807551 |
j-invariant |
L |
7.777566220106 |
L(r)(E,1)/r! |
Ω |
0.056240981807412 |
Real period |
R |
34.572503733881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392k4 6552j3 |
Quadratic twists by: -3 13 |