Atkin-Lehner |
5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54145s |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
1749390114460625 = 54 · 78 · 134 · 17 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-534232,-150147294] |
[a1,a2,a3,a4,a6] |
Generators |
[1096:23534:1] |
Generators of the group modulo torsion |
j |
143325809988740289/14869570625 |
j-invariant |
L |
2.5096804590587 |
L(r)(E,1)/r! |
Ω |
0.17659152099633 |
Real period |
R |
3.5529458674807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7735c1 |
Quadratic twists by: -7 |