Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fl |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
73216819200 = 220 · 3 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1601,20415] |
[a1,a2,a3,a4,a6] |
j |
1732323601/279300 |
j-invariant |
L |
4.1761143840556 |
L(r)(E,1)/r! |
Ω |
1.0440283746105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680l1 31920bl1 |
Quadratic twists by: -4 8 |