Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770x |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
1115400000 = 26 · 3 · 55 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-459,3382] |
[a1,a2,a3,a4,a6] |
j |
63083274241/6600000 |
j-invariant |
L |
3.0025904633575 |
L(r)(E,1)/r! |
Ω |
1.5012952303695 |
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 |
55770de1 |
Quadratic twists by: 13 |