Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400cj |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
549421056000 = 218 · 36 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39073,-2959583] |
[a1,a2,a3,a4,a6] |
Generators |
[42055:584484:125] |
Generators of the group modulo torsion |
j |
201333092381/16767 |
j-invariant |
L |
5.8647352299299 |
L(r)(E,1)/r! |
Ω |
0.33957179416662 |
Real period |
R |
8.6354864062315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400ix2 1725u2 110400eu2 |
Quadratic twists by: -4 8 5 |