Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
24864ba |
Isogeny class |
Conductor |
24864 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4352611479552 = 212 · 34 · 7 · 374 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4849,-84193] |
[a1,a2,a3,a4,a6] |
Generators |
[89:444:1] |
Generators of the group modulo torsion |
j |
3079001334592/1062649287 |
j-invariant |
L |
5.7592250030161 |
L(r)(E,1)/r! |
Ω |
0.58821538893046 |
Real period |
R |
0.61193836384152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24864p3 49728dm1 74592s3 |
Quadratic twists by: -4 8 -3 |