Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112bo |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
900956100096 = 29 · 39 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-437979,-111565010] |
[a1,a2,a3,a4,a6] |
Generators |
[13171242:-428646140:9261] |
Generators of the group modulo torsion |
j |
24893507083693256/2413827 |
j-invariant |
L |
9.1339886293602 |
L(r)(E,1)/r! |
Ω |
0.18558216431459 |
Real period |
R |
12.304507632654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112m2 28704j2 |
Quadratic twists by: -4 -3 |