Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112w |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9887035392 = 212 · 33 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -4 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1212,15520] |
[a1,a2,a3,a4,a6] |
Generators |
[38:156:1] [-27:169:1] |
Generators of the group modulo torsion |
j |
1780360128/89401 |
j-invariant |
L |
6.8029689016895 |
L(r)(E,1)/r! |
Ω |
1.2737923895164 |
Real period |
R |
0.66759004038591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112d2 86112c2 |
Quadratic twists by: -4 -3 |