Atkin-Lehner |
3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
81225bm |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
2.4181674720486E+19 |
Discriminant |
Eigenvalues |
2 3- 5- 4 1 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7716375,8246875781] |
[a1,a2,a3,a4,a6] |
Generators |
[153190350:92141707:97336] |
Generators of the group modulo torsion |
j |
2101248 |
j-invariant |
L |
16.264824631298 |
L(r)(E,1)/r! |
Ω |
0.20988005147319 |
Real period |
R |
6.4579841805796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9025f1 81225bn1 81225bu1 |
Quadratic twists by: -3 5 -19 |