Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72200b |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4085760 |
Modular degree for the optimal curve |
Δ |
-6.45375395558E+21 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 2 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14804008,22257029488] |
[a1,a2,a3,a4,a6] |
Generators |
[59696294646:1102763441375:32157432] |
Generators of the group modulo torsion |
j |
-34747958/625 |
j-invariant |
L |
7.0048633404225 |
L(r)(E,1)/r! |
Ω |
0.13385772723888 |
Real period |
R |
13.082665238895 |
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 |
14440g1 72200x1 |
Quadratic twists by: 5 -19 |