Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112r |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1670908981248 = 212 · 33 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15564,744768] |
[a1,a2,a3,a4,a6] |
Generators |
[64:104:1] |
Generators of the group modulo torsion |
j |
3770193726144/15108769 |
j-invariant |
L |
8.1161911439116 |
L(r)(E,1)/r! |
Ω |
0.84541224491261 |
Real period |
R |
1.2000345379045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112t2 86112f2 |
Quadratic twists by: -4 -3 |