Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25992x |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-5348599541376048 = -1 · 24 · 39 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 0 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41154,-1433531] |
[a1,a2,a3,a4,a6] |
Generators |
[134:2547:1] |
Generators of the group modulo torsion |
j |
38912/27 |
j-invariant |
L |
4.0719650427243 |
L(r)(E,1)/r! |
Ω |
0.24272504620813 |
Real period |
R |
4.1940099572922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984m1 8664e1 25992l1 |
Quadratic twists by: -4 -3 -19 |