Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112bp |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2566826496 = 29 · 36 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1179,15390] |
[a1,a2,a3,a4,a6] |
Generators |
[22:10:1] |
Generators of the group modulo torsion |
j |
485587656/6877 |
j-invariant |
L |
7.9265437665913 |
L(r)(E,1)/r! |
Ω |
1.4476245114839 |
Real period |
R |
2.7377761646796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bf2 9568b2 |
Quadratic twists by: -4 -3 |