Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400ce |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
256000 |
Modular degree for the optimal curve |
Δ |
-46855381500000000 = -1 · 28 · 311 · 59 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,56625,9031250] |
[a1,a2,a3,a4,a6] |
Generators |
[125:4250:1] |
Generators of the group modulo torsion |
j |
55087216/128547 |
j-invariant |
L |
5.3666616031299 |
L(r)(E,1)/r! |
Ω |
0.2495614134334 |
Real period |
R |
2.6880465660244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800bt1 13800j1 41400u1 |
Quadratic twists by: -4 -3 5 |