Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800bg |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
19170000 = 24 · 33 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -1 6 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-150,-675] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] |
Generators of the group modulo torsion |
j |
1382400/71 |
j-invariant |
L |
5.7748416542051 |
L(r)(E,1)/r! |
Ω |
1.3685505029061 |
Real period |
R |
1.0549193639851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999130302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127800c1 127800a1 |
Quadratic twists by: -3 5 |