Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200ds |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
309096000 = 26 · 36 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-398,2808] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:18:1] [-2:60:1] |
Generators of the group modulo torsion |
j |
873722816/38637 |
j-invariant |
L |
12.53042037008 |
L(r)(E,1)/r! |
Ω |
1.704180398851 |
Real period |
R |
1.2254591110637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999920766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200cp1 127200v1 |
Quadratic twists by: -4 5 |