Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400dx |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
8037225000000 = 26 · 38 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15825,-754000] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:56:1] [-71:108:1] |
Generators of the group modulo torsion |
j |
601211584/11025 |
j-invariant |
L |
9.4780384511652 |
L(r)(E,1)/r! |
Ω |
0.42613491125126 |
Real period |
R |
5.5604681762266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50400dg1 100800nt2 16800j1 10080m1 |
Quadratic twists by: -4 8 -3 5 |