Atkin-Lehner |
2- 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400dl |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
756 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
-7.287753749067E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1325708,1425095088] |
[a1,a2,a3,a4,a6] |
Generators |
[-542:44550:1] [-1433:19602:1] |
Generators of the group modulo torsion |
j |
-2576722625241040/7287753749067 |
j-invariant |
L |
13.648500302855 |
L(r)(E,1)/r! |
Ω |
0.14127691567905 |
Real period |
R |
0.12778854731952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400o1 |
Quadratic twists by: 5 |