Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400i |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32501760000000000 = 221 · 3 · 510 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185633,29599137] |
[a1,a2,a3,a4,a6] |
Generators |
[2457:120000:1] |
Generators of the group modulo torsion |
j |
172715635009/7935000 |
j-invariant |
L |
5.8589116346483 |
L(r)(E,1)/r! |
Ω |
0.3653747485432 |
Real period |
R |
2.004418625223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400in2 3450h2 22080bp2 |
Quadratic twists by: -4 8 5 |