Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120bj |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-65305773998080000 = -1 · 220 · 54 · 77 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25464,12203764] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:3200:1] |
Generators of the group modulo torsion |
j |
3789119879/135520000 |
j-invariant |
L |
3.1824864943429 |
L(r)(E,1)/r! |
Ω |
0.26333899753601 |
Real period |
R |
1.5106414754918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390j1 6160o1 |
Quadratic twists by: -4 -7 |