Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200dj |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1067520 |
Modular degree for the optimal curve |
Δ |
19080000000000 = 212 · 32 · 510 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 -2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-838333,-295722037] |
[a1,a2,a3,a4,a6] |
j |
1628973145600/477 |
j-invariant |
L |
0.63110847319959 |
L(r)(E,1)/r! |
Ω |
0.15777761200434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127200h1 127200l1 |
Quadratic twists by: -4 5 |