Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fh |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-294174720 = -1 · 214 · 33 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,819] |
[a1,a2,a3,a4,a6] |
j |
-65536/17955 |
j-invariant |
L |
4.2228320280343 |
L(r)(E,1)/r! |
Ω |
1.4076109570081 |
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 |
127680i1 31920bj1 |
Quadratic twists by: -4 8 |