Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dl |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
140540809217605632 = 215 · 310 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-432993,108027711] |
[a1,a2,a3,a4,a6] |
Generators |
[429:1188:1] |
Generators of the group modulo torsion |
j |
273979082062349000/4288965125049 |
j-invariant |
L |
7.3301338130589 |
L(r)(E,1)/r! |
Ω |
0.32771132587234 |
Real period |
R |
0.74558849335768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bx2 43296c2 |
Quadratic twists by: -4 8 |