Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592do |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6373082529792 = 217 · 34 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8449,270335] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:432:1] |
Generators of the group modulo torsion |
j |
508957029506/48622761 |
j-invariant |
L |
5.9187682245874 |
L(r)(E,1)/r! |
Ω |
0.73201636526683 |
Real period |
R |
2.021392043025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86592h4 21648c4 |
Quadratic twists by: -4 8 |