Atkin-Lehner |
3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239n |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4.1529319289905E+19 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11642247,-15287679828] |
[a1,a2,a3,a4,a6] |
Generators |
[-1977:2679:1] |
Generators of the group modulo torsion |
j |
508791703905093664380151/121076732623629411 |
j-invariant |
L |
6.4445578715908 |
L(r)(E,1)/r! |
Ω |
0.081732833287481 |
Real period |
R |
1.6426889528446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64239e2 |
Quadratic twists by: -7 |