Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928bk |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-677148574464 = -1 · 28 · 36 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -1 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35928,2621484] |
[a1,a2,a3,a4,a6] |
Generators |
[90:342:1] |
Generators of the group modulo torsion |
j |
-27482443554816/3628411 |
j-invariant |
L |
6.656310686148 |
L(r)(E,1)/r! |
Ω |
0.87422469512843 |
Real period |
R |
0.31724827740824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15732b1 6992n1 |
Quadratic twists by: -4 -3 |