Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
127200bx |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9139200 |
Modular degree for the optimal curve |
Δ |
-8.9812592600958E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28603008,-59046460488] |
[a1,a2,a3,a4,a6] |
j |
-323495961276992495048/1122657407511975 |
j-invariant |
L |
3.1981773136537 |
L(r)(E,1)/r! |
Ω |
0.032634457573492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200dc1 25440u1 |
Quadratic twists by: -4 5 |