Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bi |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-6.0122261497684E+20 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 3 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1597425,-887597469] |
[a1,a2,a3,a4,a6] |
Generators |
[59054040106:22544629818341:405224] |
Generators of the group modulo torsion |
j |
841232384/1121931 |
j-invariant |
L |
10.924760803959 |
L(r)(E,1)/r! |
Ω |
0.086854574603178 |
Real period |
R |
15.722776914562 |
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 |
27075u1 3249f1 4275i1 |
Quadratic twists by: -3 5 -19 |