Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432x |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-14233856 = -1 · 28 · 7 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-572,-5464] |
[a1,a2,a3,a4,a6] |
Generators |
[6105:91468:27] |
Generators of the group modulo torsion |
j |
-80989901008/55601 |
j-invariant |
L |
6.243230309051 |
L(r)(E,1)/r! |
Ω |
0.48802201934028 |
Real period |
R |
6.3964637470565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17108e1 |
Quadratic twists by: -4 |