Atkin-Lehner |
2- 3- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424bc |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-5576098185216 = -1 · 217 · 36 · 13 · 672 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -4 13- -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5619,-197966] |
[a1,a2,a3,a4,a6] |
Generators |
[105:608:1] |
Generators of the group modulo torsion |
j |
-6570725617/1867424 |
j-invariant |
L |
5.9986990541288 |
L(r)(E,1)/r! |
Ω |
0.27171082907111 |
Real period |
R |
2.7596890090763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999084007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15678f1 13936c1 |
Quadratic twists by: -4 -3 |