Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fi |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
32533370634240 = 226 · 36 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-646721,-200396865] |
[a1,a2,a3,a4,a6] |
j |
114113060120923921/124104960 |
j-invariant |
L |
4.0404672976485 |
L(r)(E,1)/r! |
Ω |
0.16835277765496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680j1 31920bk1 |
Quadratic twists by: -4 8 |