Atkin-Lehner |
3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25389p |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.1050061995456E+20 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12781200,17594829045] |
[a1,a2,a3,a4,a6] |
Generators |
[2393:26698:1] |
Generators of the group modulo torsion |
j |
-316745953955282944000000/151578353847126843 |
j-invariant |
L |
4.4361272055562 |
L(r)(E,1)/r! |
Ω |
0.18493230342632 |
Real period |
R |
5.9969609464734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8463l3 |
Quadratic twists by: -3 |