Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126324n |
Isogeny class |
Conductor |
126324 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-1797723412848 = -1 · 24 · 37 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 3 11- 3 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1815,57233] |
[a1,a2,a3,a4,a6] |
Generators |
[1:243:1] |
Generators of the group modulo torsion |
j |
32000/87 |
j-invariant |
L |
9.0889045416288 |
L(r)(E,1)/r! |
Ω |
0.58665257456363 |
Real period |
R |
2.5821371883548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999615792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42108a1 1044e1 |
Quadratic twists by: -3 -11 |