Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400de |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
942080 |
Modular degree for the optimal curve |
Δ |
-11266249500000000 = -1 · 28 · 34 · 59 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-180708,29945088] |
[a1,a2,a3,a4,a6] |
Generators |
[234:-726:1] |
Generators of the group modulo torsion |
j |
-1305233612048/22532499 |
j-invariant |
L |
7.5621739465985 |
L(r)(E,1)/r! |
Ω |
0.40422036975574 |
Real period |
R |
1.1692529796868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125400v1 |
Quadratic twists by: 5 |