Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400bk |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-13805750000 = -1 · 24 · 56 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 2 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,142,5663] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:1225:27] |
Generators of the group modulo torsion |
j |
1257728/55223 |
j-invariant |
L |
7.5712365116369 |
L(r)(E,1)/r! |
Ω |
0.95110628199058 |
Real period |
R |
1.9901131595069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16100d1 2576o1 |
Quadratic twists by: -4 5 |