Atkin-Lehner |
2- 3- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062bc |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
648000 |
Modular degree for the optimal curve |
Δ |
-14582011814931456 = -1 · 210 · 36 · 73 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 0 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-885182,320824653] |
[a1,a2,a3,a4,a6] |
j |
-105218824605397613209/20002759691264 |
j-invariant |
L |
3.8336318857699 |
L(r)(E,1)/r! |
Ω |
0.3833631887908 |
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 |
6118a1 |
Quadratic twists by: -3 |